Inverse Proportion Calculator
Calculate inverse proportions easily with our inverse rule of three calculator. Perfect for time-work problems, speed calculations, and efficiency analysis.
🔄 Inverse Proportion Formula
When one quantity increases, the other decreases proportionally
📝 Enter Values
Result
Fill in the values above
🔄 Inverse Relationship
📚 Understanding Inverse Proportion
✨ Key Features
Everything you need for inverse proportion calculations
Inverse Calculation
Specialized for inverse proportions where one quantity increases as the other decreases
Step-by-Step
Detailed calculation steps to help you understand the inverse relationship
Mode Toggle
Switch between direct and inverse proportion modes in one interface
Real Examples
Pre-loaded examples for workers-time, speed-time, and efficiency problems
Educational
Learn the difference between direct and inverse proportions with clear explanations
Mobile Friendly
Responsive design that works perfectly on all devices
🎯 Perfect For
Discover how different professionals use our inverse proportion calculator
Project Management
Calculate how adding more workers affects project completion time, or determine optimal team sizes.
Transportation & Logistics
Calculate travel times at different speeds, or determine fuel efficiency relationships.
Education & Learning
Perfect for teaching inverse relationships in mathematics, physics, and economics classes.
Manufacturing & Production
Optimize production schedules by calculating machine-time relationships and efficiency ratios.
❓ Frequently Asked Questions
Everything you need to know about inverse proportions
What is an inverse proportion?
An inverse proportion is a relationship where one quantity increases as the other decreases, and vice versa. The formula is x = (a × b) / c, where the product of corresponding values remains constant (a × b = c × x).
How is this different from direct proportion?
In direct proportion, both quantities change in the same direction (both increase or both decrease). In inverse proportion, they change in opposite directions. For example: more workers = less time (inverse), but more speed = more distance in same time (direct).
What are common examples of inverse proportion?
Common examples include: Workers and time (more workers finish job faster), Speed and time (higher speed means shorter travel time), Machines and production time (more machines complete work quicker), and Pipe diameter and filling time (wider pipes fill tanks faster).
Can I switch between direct and inverse modes?
Yes! The calculator includes a mode toggle that lets you switch between direct and inverse proportion calculations. This helps you compare results and understand the difference between the two types of relationships.
How do I know which type of proportion to use?
Ask yourself: "If one quantity increases, does the other increase or decrease?" If they move in the same direction, use direct proportion. If they move in opposite directions, use inverse proportion. The calculator's examples can help you identify the right type for your problem.
⭐ What Users Say
Join thousands of satisfied users who trust our inverse proportion calculator
"Finally understand the difference between direct and inverse proportions! The mode toggle feature is brilliant for comparing both types of calculations."
"Perfect for project planning! I use this daily to calculate how team size affects project timelines. The step-by-step explanations are very helpful."
"Great tool for logistics calculations! Helps me optimize delivery routes by calculating speed-time relationships. The examples are very practical."
Based on 1,847+ user reviews
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