Solve direct and inverse proportions instantly with step-by-step mathematical explanations.
2 está para 10, assim como 5 está para X
25
For direct proportions where A relates to B as C relates to X, the cross-multiplication formula is X = (B × C) / A. For inverse proportions where A relates to B as C relates to X inversely, the formula is X = (A × B) / C. The tool displays the exact formula and intermediate multiplication steps.
A / B = C / X ⟹ X = (B × C) / AA packaging crew of 4 workers packs 120 boxes per hour. How many boxes can 10 workers pack at the same individual rate?
Interpretation: With 10 workers operating at constant productivity, production rises to 300 boxes per hour.
If 2 painters finish a hall in 6 hours, 4 painters will take LESS time (3 hours), not more (12 hours).
Comparing hours directly with minutes or meters with centimeters produces invalid proportions.
In a direct proportion, when one variable increases, the other increases at the same rate. In an inverse proportion, when one variable increases, the other decreases proportionately.
Multiply the two diagonal numbers (B and C) and divide by the remaining number (A): X = (B × C) / A.
Yes, our calculator supports all real rational numbers including decimals and negative values.
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