Answer:

The third proportional to 9 and 15 is:

1. 18

2. 36

3. 27

4. 25

Verified answer

To find the third proportional to two given numbers, you can use a simple formula. Let's solve both parts of the task step-by-step:

i. Find the third proportional to 5.4 and 9:

Step 1: Write down the given numbers: 5.4 and 9.

Step 2: Set up the proportion. Since we are looking for the third proportional number, let's represent it with 'x', which means:

5.4:9 = 9:x

Step 3: Cross-multiply:

5.4 * x = 9 * 9

Step 4: Simplify the right side of the equation:

5.4x = 81

Step 5: Divide both sides of the equation by 5.4 to isolate 'x':

x = 81 / 5.4

Step 6: Calculate the value of 'x':

x ≈ 15

Therefore, the third proportional to 5.4 and 9 is approximately 15.

ii. Find the third proportional to 9 and 15:

Step 1: Write down the given numbers: 9 and 15.

Step 2: Set up the proportion:

9:15 = 15:x

Step 3: Cross-multiply:

9 * x = 15 * 15

Step 4: Simplify the right side of the equation:

9x = 225

Step 5: Divide both sides of the equation by 9:

x = 225 / 9

Step 6: Calculate the value of 'x':

x = 25

Therefore, the third proportional to 9 and 15 is 25.

In summary, the third proportional to i. 5.4 and 9 is approximately 15, and ii. 9 and 15 is 25.

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