Question

Find the mean proportion between 50 and 8

Answer 1

HEY MATE HERE'S YOUR ANSWER



Let pp = the mean proportional. Then

50p=p850p=p8

⟹(p)(p)=(50)(8)⟹(p)(p)=(50)(8)

⟹p2=400⟹p2=400

⟹p=+400−−−√⟹p=+400

⟹p=20.⟹p=20.

∴∴ the mean proportional of 5050 and 88 is 20.

Answer 2

The mean proportion between 50 and 8 is 20.

Step-by-step explanation:

To find : The mean proportion between 50 and 8 ?

Solution :

Let the mean proportion between 50 and 8 be 'x'.

So, the numbers can be written as $50:x::x:8$

If $a:b::c:d$ then $\frac{a}{b}=\frac{c}{d}$

So, $\frac{50}{x}=\frac{x}{8}$

Cross multiply,

$x\times x=50\times 8$

$x^2=400$

$x=\sqrt{400}$

$x=20$

Therefore, the mean proportion between 50 and 8 is 20.

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