Finding the Third Proportional to 7,540 and 9,798
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Solution
The third proportional to 7,540 and 9,798 is: 12,732.20
Step by Step Solution
- Step 1: Write the proportion equation
7,540 : 9,798 = 9,798 : x - Step 2: Convert to fraction form
7,540/9,798 = 9,798/x - Step 3: Cross multiply
7,540x = 9,798 × 9,798 - Step 4: Simplify right side
7,540x = 96,000,804 - Step 5: Solve for x
x = 96,000,804/7,540 - Step 6: Final answer
x = 12,732.20
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Why These Related Problems?
These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.