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 mean proportional between a – b and a3 – a2b
If ( a+c) : b = 5 : 1 and (bc + cd) : bd = 5 : 1, then prove that a : b = c : d
If p, q and r in continued proportion, then prove the following :
`"p"^2 - "q"^2 + "r"^2 = "q"^4 (1/"p"^2 - 1/"q"^2 - 1/"r"^2)`
If a, b, c and dare in continued proportion, then prove that
(a+ d)(b+ c)-(a+ c)(b+ d)= (b-c)2
Write (T) for true and (F) for false in case of the following:
51 : 68 : : 85 : 102
Determine if the following ratio form a proportion:
200 mL : 2.5 L and Rs 4 : Rs 50
If `x/a = y/b = z/c`, prove that `x^3/a^2 + y^3/b^2 + z^3/c^2 = (x+ y+ z)^3/(a + b+ c)^2`
Find the missing number in the box in the proportions:
`3/8 = square/20`
Find the missing number in the box in the proportion:
`square/18 = 2/9`
A recipe calls for 1 cup of milk for every `2 1/2` cups of flour to make a cake that would feed 6 persons. How many cups of both flour and milk will be needed to make a similar cake for 8 people?
