Question

If the product of three positive numbers in continued proportion be 64,then their mean proportion is

Answer 1

Let the numbers be x,y,z. Then xyz=64 (given)
As they are in continued proportion, so x/y = y/z
=> y^2 = xz
=> y^3 = xyz = 64
=> y = 4
That is the asked mean proportion :)
Happy to help you.

Answer 2

Answer:

Mean proportional= mid of xyz =y=4

Step-by-step explanation:

Let the numbers be x,y&z.

Then xyz =64(given)

As they are in continued proportion,

so,x/y =y/z

=>y²=xz

=>y³=xyz =64

=>y =√(64) =4

Therefore, y =4