$x, 12, y, 27$ are in continued proportion find the positive value of $x$ and $y$

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Solution

As they r in continued proportion
Then $x / 12 = 12 / y = y / 27$
$12 / y = y / 27$
$= y^{2} = 12 * 27$
$= y^{2} = 324$
$= y = 18$
Then $x / 12 = 12 / y$
$= x y = 144$
By putting value of $y$
$x * 18 = 144$
$= x = 144 / 18$
$= x = 8$

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