Finding the Third Proportional to 6,540 and 8,484
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Solution
The third proportional to 6,540 and 8,484 is: 11,005.85
Step by Step Solution
- Step 1: Write the proportion equation
6,540 : 8,484 = 8,484 : x - Step 2: Convert to fraction form
6,540/8,484 = 8,484/x - Step 3: Cross multiply
6,540x = 8,484 × 8,484 - Step 4: Simplify right side
6,540x = 71,978,256 - Step 5: Solve for x
x = 71,978,256/6,540 - Step 6: Final answer
x = 11,005.85
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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.