Finding the Third Proportional to 6,534 and 7,920
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Solution
The third proportional to 6,534 and 7,920 is: 9,600
Step by Step Solution
- Step 1: Write the proportion equation
6,534 : 7,920 = 7,920 : x - Step 2: Convert to fraction form
6,534/7,920 = 7,920/x - Step 3: Cross multiply
6,534x = 7,920 × 7,920 - Step 4: Simplify right side
6,534x = 62,726,400 - Step 5: Solve for x
x = 62,726,400/6,534 - Step 6: Final answer
x = 9,600
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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.