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Finding the Third Proportional to 140,929 and 218,121

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Solution

The third proportional to 140,929 and 218,121 is: 337,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,929 : 218,121 = 218,121 : x
  2. Step 2: Convert to fraction form
    140,929/218,121 = 218,121/x
  3. Step 3: Cross multiply
    140,929x = 218,121 × 218,121
  4. Step 4: Simplify right side
    140,929x = 47,576,770,641
  5. Step 5: Solve for x
    x = 47,576,770,641/140,929
  6. Step 6: Final answer
    x = 337,593.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.