Mean Proportion Calculation
To find the mean proportion (also known as the geometric mean) of two numbers, $a$ and $b$, you multiply the numbers and then take the square root of the product. The formula is $ M = \sqrt{a \times b} $. We need to calculate this for $a = 0.55$ and $b = 125$, and round the result to one decimal place.
Steps to Calculate
- Multiply the numbers:
First, multiply the two given numbers:
$ 0.55 \times 125 = 68.75 $
- Calculate the square root:
Next, find the square root of the product:
$ M = \sqrt{68.75} $
$ M \approx 8.291561975... $
- Round to one decimal place:
The question requires rounding the result to one decimal place. The calculated value is approximately $8.29156...$. Since the second decimal digit is 9 (which is 5 or greater), we round up the first decimal digit.
Rounded value: $8.3$.
The mean proportion of 0.55 and 125, rounded to one decimal place, is $8.3$.
Important Questions from Ratio and Proportion (Notes)
- Anand and Deepak started a business investing ₹ 22,500 and ₹ 35,000 respectively. Out of a total profit of ₹ 13,800, Deepak's share is
- If A exceeds B by 50% and B is less than C by 25%, then A: C is:
- A, B and C invested some money in the ratio of 3 : 2 : K. If C's share is Rs 120 more than A's share, B's share is Rs 30 less than A's share, then the value of K is :
- For any two numbers p and q,
$(p + q) : (p - q) : pq = 7 : 1 : 60$
If $p^2 + q^2 = r^2$, then r is equal to - If A : B = 5 : 6 and B : C = 6 : 7, then A + B : B + C : A + C is :
