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Finding the Third Proportional to 98,717 and 140,691

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Solution

The third proportional to 98,717 and 140,691 is: 200,512.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,717 : 140,691 = 140,691 : x
  2. Step 2: Convert to fraction form
    98,717/140,691 = 140,691/x
  3. Step 3: Cross multiply
    98,717x = 140,691 × 140,691
  4. Step 4: Simplify right side
    98,717x = 19,793,957,481
  5. Step 5: Solve for x
    x = 19,793,957,481/98,717
  6. Step 6: Final answer
    x = 200,512.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.