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
If x2, 4 and 9 are in continued proportion, find x.
If three quantities are in continued proportion, show that the ratio of the first to the third is the duplicate ratio of the first to the second.
If b is the mean proportional between a and c, prove that `(a^2 - b^2 + c^2)/(a^-2 -b^-2 + c^-2)` = b4.
Find the mean proportion of: `(1)/(12) and (1)/(75)`
Find two numbers such that the mean proportional between them is 28 and the third proportional to them is 224.
A labourer earns Rs 1980 in 12 days.
(i) How much does he earn in 7 days?
(ii) In how many days will he earn Rs 2640?
If a, b, c are in continued proportion, prove that: a2 b2 c2 (a-4 + b-4 + c-4) = b-2(a4 + b4 + c4)
What number must be added to each of the numbers 15, 17, 34 and 38 to make them proportional?
Do the ratios 15 cm to 2 m and 10 sec to 3 minutes form a proportion?
Are the following statements true?
99 kg : 45 kg = ₹ 44 : ₹ 20
