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Rule of Three Calculator

Fill in A, B and C to find the missing value X in a direct or inverse proportion.

A (2) is to B (10) as C (5) is to X

X

25

Direct vs. inverse proportion

In a direct proportion, A/B = C/X, so X = (B × C) / A. In an inverse proportion, A × B = C × X, so X = (A × B) / C. Pick the type that matches how your two quantities relate to each other.

Frequently asked questions

What is a direct rule of three?

It applies when two quantities grow together — as A increases, C increases too, such as price per item scaling with quantity.

What is an inverse rule of three?

It applies when one quantity increases while the other decreases — such as more workers finishing a job in less time.

How is X calculated?

For a direct proportion, X = (B × C) / A. For an inverse proportion, X = (A × B) / C.

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