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Rule of Three Calculator

Solve proportions instantly with our Rule of Three calculator. Enter three values to find the fourth unknown value.

is to
As
is to
Formula Applied:

X = (B × C) ÷ A

X = (20 × 30) ÷ 10 = 60


What is the Rule of Three?

The Rule of Three is a mathematical method for finding a fourth, unknown value when three values are known and they are proportional. It is widely used for solving problems related to percentages, ratios, scaling recipes, and currency conversion.

Example

If 5 apples cost $2, entering those values plus a quantity of 8 apples calculates a cost of $3.20 using direct proportion.

Common Use Cases

  • Scaling a recipe up or down while keeping ingredient ratios consistent.
  • Solving proportion word problems for school or work.

FAQs

What's the difference between direct and inverse proportion?

In direct proportion, both values increase together (more apples cost more); in inverse proportion, one value increases as the other decreases (more workers means less time to finish a job).