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Finding the Third Proportional to 137,962 and 213,691

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Solution

The third proportional to 137,962 and 213,691 is: 330,988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,962 : 213,691 = 213,691 : x
  2. Step 2: Convert to fraction form
    137,962/213,691 = 213,691/x
  3. Step 3: Cross multiply
    137,962x = 213,691 × 213,691
  4. Step 4: Simplify right side
    137,962x = 45,663,843,481
  5. Step 5: Solve for x
    x = 45,663,843,481/137,962
  6. Step 6: Final answer
    x = 330,988.56

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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.