#1048 · Algebra · Sequences & series

Ratio from means

If the harmonic mean of two quantities is to their geometric mean as $12$ is to $13$ , prove that the quantities are in the ratio $4$ to $9$ .

~6 minProof · checked by AIHarmonic meanGeometric meanRatio

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. VI. Harmonical Progression, Examples VI.a, No. 5

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