Question

If the mean proportion of a and 54 is 18, the the value of a is

Answer 1

Step-by-step explanation:

the mean proportional between 3 and 12, then find mean proportional between x and y if y = 54:"

Answer 2

SOLUTION

GIVEN

The mean proportion of a and 54 is 18

TO DETERMINE

The value of a

EVALUATION

Here it is given that mean proportion of a and 54 is 18

So by the given condition

$\displaystyle \sf{ \frac{ a + 54}{2} = 18}$

$\displaystyle \sf{ \implies a + 54 = 2 \times 18}$

$\displaystyle \sf{ \implies a + 54 = 36}$

$\displaystyle \sf{ \implies a = 36 - 54}$

$\displaystyle \sf{ \implies a = - 18}$

FINAL ANSWER

Hence the required value of a = - 18

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