Advertisements
Advertisements
Question
Find the mean proportion of the following :
0.09 and 0.25
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
If a, b, c are in continued proportion and a(b - c) = 2b, prove that `a - c = (2(a + b))/a`
If a, b, c and d are in proportion prove that `(13a + 17b)/(13c + 17d) = sqrt((2ma^2 - 3nb^2)/(2mc^2 - 3nd^2)`
Check whether the following numbers are in continued proportion.
2, 4, 8
Find the mean proportion of the following :
24 and 6
Find the value of x in the following proportions : x : 50 :: 3 : 2
If `x/a = y/b = z/c`, prove that `[(a^2x^2 + b^2y^2 + c^2z^2)/(a^2x + b^3y +c^3z)]^3 = "xyz"/"abc"`
Find the missing number in the box in the proportions:
`16/36 = square/63 = 36/square = square/117`
Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion.
39 litres : 65 litres and 6 bottles : 10 bottles
Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion.
200 mL : 2.5 litre and ₹ 4 : ₹ 50
The mean proportional to `sqrt(3) + sqrt(2)` and `sqrt(3) - sqrt(2)` is ______.