Question

The product of means in a proportion is 1 / 45. If one of the extremes is 1 / 5, find the other extreme?

Answer 1

Heya.

This is your answer.

Let the other extreme be x.

As we know that product of mean and product of means is equal.

Given - 
Product of means = 1/45
Product of extremes = 1/5 X x

Now,   product of means = product of extremes 
$\frac{1}{45} = \frac{x}{5} \\ =\ \textgreater \ x = \frac{5}{45} \\ =\ \textgreater \ x = \frac{1}{9}$
Hence, the other extreme is 1/9.

Let us verify...
$\frac{1}{9} X \frac{1}{5} = \frac{1}{45} \\ =\ \textgreater \ \frac{1}{45} = \frac{1}{45}$

Hence, verified...

Hope it helps you   

Answer 2

Heya.

This is your answer.

Let the other extreme be x.

As we know that product of mean and product of means is equal.

Given -

Product of means = 1/45 Product of extremes = 1/5 X x

Now, product of means product of extremes 1

45 5

\textgreater x

5

45

1

= \textgreater x = 9 Hence, the other extreme is 1/9.

Let us verify...

X 9 5 =

45

1

textgreater

45

1

45

=

=

Hence, verified...

Hope it helps you