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Finding the Third Proportional to 140,442 and 198,721

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Solution

The third proportional to 140,442 and 198,721 is: 281,183.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,442 : 198,721 = 198,721 : x
  2. Step 2: Convert to fraction form
    140,442/198,721 = 198,721/x
  3. Step 3: Cross multiply
    140,442x = 198,721 × 198,721
  4. Step 4: Simplify right side
    140,442x = 39,490,035,841
  5. Step 5: Solve for x
    x = 39,490,035,841/140,442
  6. Step 6: Final answer
    x = 281,183.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.