Question

Find the mean proportional between 3.2 and 9.8

Answer 1

Answer:

6.4

Step-by-step explanation:

Answer 2

SOLUTION

TO DETERMINE

The mean proportional between 3.2 and 9.8

EVALUATION

Let x be the mean proportional between 3.2 and 9.8

So by the given condition

3.2 : x = x : 9.8

$\displaystyle \sf{ \implies \: \frac{3.2}{x} = \frac{x}{9.8} }$

$\displaystyle \sf{ \implies \: {x}^{2} = 3.2 \times 9.8}$

$\displaystyle \sf{ \implies \: {x}^{2} = 31.36}$

$\displaystyle \sf{ \implies \: x = 5.6}$

FINAL ANSWER

Hence the required mean proportional between 3.2 and 9.8 is 5.6

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