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Rule of Three Calculator

Solve proportions with the direct or inverse rule of three.

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Calculation

Enter three valid numbers. A must not be zero (direct) or C must not be zero (inverse).

What is the rule of three?

The rule of three finds a missing value when three others are known. In a direct proportion, more of one thing means proportionally more of the other, for example price and quantity: if 3 items cost 12, then 5 cost 12 × 5 ÷ 3 = 20.

In an inverse proportion, more of one means less of the other, such as workers and time: if 4 workers need 6 days, 8 workers need 4 × 6 ÷ 8 = 3 days.

How to use the Rule of Three Calculator

  1. 1Choose direct or inverse.
  2. 2Enter A, B and C.
  3. 3Read the missing value.

Frequently asked questions

How do I know which type to use?

If both values grow together it is direct. If one grows while the other shrinks, it is inverse.

Can I use decimals?

Yes. Comma and dot both work.

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