Question

in the third proportional to 7 and X is 28 find the value of x

Answer 1

SOLUTION

GIVEN

The third proportional to 7 and x is 28

TO DETERMINE

The value of x

EVALUATION

Here it is given that the third proportional to 7 and x is 28

So by the given condition

7 : x = x : 28

$\displaystyle \sf{ \implies \: \frac{7}{x} = \frac{x}{28} }$

$\displaystyle \sf{ \implies \: {x}^{2} = 7 \times 28}$

$\displaystyle \sf{ \implies \: {x}^{2} = 7 \times 7 \times 4}$

$\displaystyle \sf{ \implies \: x = \pm \: ( 7 \times 2)}$

$\displaystyle \sf{ \implies \: x = \pm \: 14}$

FINAL ANSWER

So the required value

$\boxed{ \sf{ \: \: x = \pm \: 14} \: \: }$

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Answer 2

Answer:

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