Finding the Third Proportional to 676 and 1,540
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Solution
The third proportional to 676 and 1,540 is: 3,508.28
Step by Step Solution
- Step 1: Write the proportion equation
676 : 1,540 = 1,540 : x - Step 2: Convert to fraction form
676/1,540 = 1,540/x - Step 3: Cross multiply
676x = 1,540 × 1,540 - Step 4: Simplify right side
676x = 2,371,600 - Step 5: Solve for x
x = 2,371,600/676 - Step 6: Final answer
x = 3,508.28
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Why These Related Problems?
These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.