Advertisements
Advertisements
Question
Find the third proportional to:
x - y, x2 - y2
Solution
Let A be the third proportional then
(x - y) : (x2 - y2) = (x2 - y2) : A
⇒ `(x - y)/(x^2 - y^2) = (x^2 - y^2)/"A"`
⇒ A = `((x^2 - y^2))/(x - y)`
⇒ A = (x + y)(x2 - y2).
APPEARS IN
RELATED QUESTIONS
Find the mean proportional between `6 + 3sqrt(3)` and `8 - 4sqrt(3)`
Find two numbers such that the mean proportional between them is 12 and the third proportional to them is 96.
Using properties of proportion, solve for x:
`(3x + sqrt(9x^2 - 5))/(3x - sqrt(9x^2 - 5)) = 5`
Find the mean proportion of the following :
ab3 and a3b
Find the fourth proportional to 3, 12, 15
Verify the following:
60 : 105 : : 84 : 147
If ax = by = cz; prove that `x^2/"yz" + y^2/"zx" + z^2/"xy" = "bc"/a^2 + "ca"/b^2 + "ab"/c^2`
If a, b, c are in continued proportion, prove that: abc(a + b + c)3 = (ab + bc + ca)3
If a, b, c, d, e are in continued proportion, prove that: a : e = a4 : b4.
10 books is to 15 books as 3 books is to 15 books
