FIND THE SOME OF TWO NUMBER WHOSE GEOMETRIC MEAN IS 6 AND THIRD PROPORTIONAL IS 20.25
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The mean proportion of x and y = 8, or xy=8^2 = 64, or y = 64/x
x:y::y:512, or
y^2 = 512x, or
(64/x)^2 = 512x, or
512x^3 = 64^2 = 4096, or
x^3 = 4096/512 = 8, hence x = 2 and y = 64/2 = 32.
The 2 numbers are 2 and 32.
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x:y::y:512, or
y^2 = 512x, or
(64/x)^2 = 512x, or
512x^3 = 64^2 = 4096, or
x^3 = 4096/512 = 8, hence x = 2 and y = 64/2 = 32.
The 2 numbers are 2 and 32.
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