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Finding the Third Proportional to 38,680 and 82,418

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Solution

The third proportional to 38,680 and 82,418 is: 175,613.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,680 : 82,418 = 82,418 : x
  2. Step 2: Convert to fraction form
    38,680/82,418 = 82,418/x
  3. Step 3: Cross multiply
    38,680x = 82,418 × 82,418
  4. Step 4: Simplify right side
    38,680x = 6,792,726,724
  5. Step 5: Solve for x
    x = 6,792,726,724/38,680
  6. Step 6: Final answer
    x = 175,613.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.