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Finding the Third Proportional to 133,542 and 207,972

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Solution

The third proportional to 133,542 and 207,972 is: 323,885.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,542 : 207,972 = 207,972 : x
  2. Step 2: Convert to fraction form
    133,542/207,972 = 207,972/x
  3. Step 3: Cross multiply
    133,542x = 207,972 × 207,972
  4. Step 4: Simplify right side
    133,542x = 43,252,352,784
  5. Step 5: Solve for x
    x = 43,252,352,784/133,542
  6. Step 6: Final answer
    x = 323,885.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.