The mean - proportional of `x^(2) y " and " yz^(2)` is

If y is the mean proportional between x and z , show that xy + yz is the mean proportional between x^(2) + y^(2) and y^(2) + z^(2).

Find the mean proportional to x - y and (x-y)^(3)

Find the : (i) fourth proportional to 2xy , x^(2) and y^(2) . (ii) third proportional to a^(2) - b^(2) and a + b . (iii) mean proportion to (x - y) and (x^(3) - x^(2)y)

If mean - proportional of (x - 2) and (x - 3) be x, then the value of x is _________ .

Consider the following statements : 1. If x is directly proportional to z and y is directly proportional to z, then (x^(2) - y^(2)) is directly proportional to z^2 . 2. If x is inversely proportional to z and y is inversely proportional to z, then (xy) is inversely proportional to z^2 . Which of the above statements is/are correct?

Find the mean proportional between (x-y) and (x^(3)-x^(2)y)

The mean proportional between 54 and 6 is x, and the fourth proportional of 2,3,12….. Is y. What is x:y ?