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Ratio, proportion & partnership formulas

8 formulas for Ratio, proportion & partnership, from the Arithmetic & Quantitative Aptitude section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.

NameFormulaNote
Ratioa : b = a / b
Proportiona : b = c : d ⇔ ad = bc
Mean proportional√(ab)
Third proportionalb² / aof a and b
Fourth proportionalbc / aof a, b, c
Componendo–dividendoa/b = c/d ⇒ (a + b)/(a − b) = (c + d)/(c − d)
PartnershipProfit share ∝ Capital × Time
Divide N in ratio a : bN·a/(a + b) and N·b/(a + b)

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Related: Arithmetic & Quantitative Aptitude