Advertisements
Advertisements
Question
Find the mean proportion of the following :
0.09 and 0.25
Advertisements
Solution
Let x be the mean proportion
0.09 : x : : x : 0.25
⇒ x × x = 0.09 × 0.25
⇒ x2 = 0.0225
⇒ x = `sqrt 0.0225`
⇒ x = 0.15
The mean prooortion is 0.15
APPEARS IN
RELATED QUESTIONS
Find the third proportional to `2 2/3` and 4
If x + 5 is the mean proportional between x + 2 and x + 9; find the value of x.
If `(4m + 3n)/(4m - 3n) = 7/4`, use properties of proportion to find m : n
Check whether the following numbers are in continued proportion.
3, 5, 8
Find two numbers whose mean proportional is 18 and the third proportional is 486.
If `x/a = y/b = z/c`, prove that `x^3/a^2 + y^2/b^2 + z^3/c^2 = ((x + y + z)^3)/((a + b ++ c)^2)`.
Find two numbers such that the mean proportional between them is 28 and the third proportional to them is 224.
If y is mean proportional between x and z, prove that xyz (x + y + z)³ = (xy + yz + zx)³.
`square` : 24 : : 3 : 8
Find the missing number in the box in the proportion:
`square/45 = 16/40 = 24/square`
