Advertisements
Advertisements
Question
Find the third proportional to:
`a/b + b/c, sqrt(a^2 + b^2)`.
Advertisements
Solution
Let x be the third proportional then
`a/b + b/c, sqrt(a^2 + b^2) = sqrt(a^2 + b^2) : x`
⇒ `(a^2 + b^2)/(ab) : sqrt(a^2 + b^2) = sqrt(a^2 + b^2) : x`
⇒ `(a^2 + b^2)/(ab sqrt(a^2 + b^2)) = sqrt(a^2 + b^2)/x`
⇒ x = `(ab (a^2 + b^2))/((a^2 + b^2))`
⇒ x = ab.
APPEARS IN
RELATED QUESTIONS
Find the value of the unknown in the following proportion :
5 : 12 :: 15 : x
Find the third proportion to the following :
(x - y) and m (x - y)
If a : b = c : d, show that (a - c) b2 : (b - d) cd = (a2 - b2 - ab) : (c2 - d2 - cd).
Find two numbers such that the mean proportional between them is 28 and the third proportional to them is 224.
An electric pole casts a shadow of length 20 m at a time when a tree 6 m high casts a shadow of length 8 m. Find the height of the pole.
The America’s famous Golden Gate bridge is 6480 ft long with 756 ft tall towers. A model of this bridge exhibited in a fair is 60 ft long with 7 ft tall towers. Is the model, in proportion to the original bridge?
Determine if the following are in proportion.
4, 6, 8, 12
Write True (T) or False (F) against the following statement:
16 : 24 : : 20 : 30
Write True (T) or False (F) against the following statement:
0.9 : 0.36 : : 10 : 4
If x : y = y : z, then x2 : y2 is ______.
