Rule of Three Calculator

Solve simple (direct and inverse) and compound rule of three with step-by-step explanation.

If
β†’
then
If
β†’
then
X = ?

πŸ“ Rule of Three Calculator: Your Math Ally

Solve for any unknown in seconds with our Online Rule of Three Calculator. Whether you need to crack a simple direct proportionality problem (like adjusting recipe ingredients) or a complex inverse scenario, this tool gives you the solution and, most importantly, explains how to get there.

πŸš€ When to use the Rule of Three?

  • Cooking & Recipes: If 4 eggs serve 2 people, how many do I need for 5? (Direct)
  • Travel & Speed: If I travel 2 hours at 100km/h, how long will it take at 120km/h? (Inverse)
  • Currency & Exchange: If 100 Dollars are 90 Euros, how many Euros are 50 Dollars? (Direct)
  • Construction & Labor: If 5 workers build a wall in 10 days, how long will 10 workers take? (Inverse)

βœ… Why our calculator stands out

  • πŸ”’ Smart Dual Mode: Supports both Simple (Direct & Inverse) and Compound Rule of Three.
  • πŸ”’ Step-by-Step Explanation: It doesn't just give you the number; it shows the formula and logical substitution.
  • πŸ”’ Visual & Intuitive: The arrow design helps you visualize the relationship between variables A, B, and C.
  • πŸ”’ Unlimited Compound Calc: Solve complex problems with multiple simultaneous variables.

πŸ› οΈ Quick Start Guide

  1. Choose mode: 'Simple' for 3 known values, or 'Compound' for more variables.
  2. Select the relation type using the arrow buttons (Direct ↗️ or Inverse ↙️).
  3. Enter your known values in boxes A, B, and C.
  4. Click 'Calculate' to see the result along with the full mathematical breakdown.

πŸ€“ Direct vs Inverse: The Trick

The key lies in asking a simple question: 'If this quantity goes up, should the other one go up or down?'.
If both go up together (more gas = more distance), it's Direct.
If one goes up and the other down (more speed = less time), it's Inverse.