If x, y and z are in continued proportion then $z : x :: z^{2} : y^{2}$ .

False

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True

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Solution

The correct option is B
True

If x, y, and z are in continued proportion then $y^{2} = x z$
Multiply both sides of the equation by $z$
equation becomes, $z y^{2} = x z^{2}$
$⟹$ $(z / x) = (z^{2} / y^{2})$
$⟹$ $z : x :: z^{2} : y^{2}$

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If x, y and z are in continued proportion then $z : x :: z^{2} : y^{2}$ .

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