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Finding the Third Proportional to 133,508 and 207,921

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Solution

The third proportional to 133,508 and 207,921 is: 323,809.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,508 : 207,921 = 207,921 : x
  2. Step 2: Convert to fraction form
    133,508/207,921 = 207,921/x
  3. Step 3: Cross multiply
    133,508x = 207,921 × 207,921
  4. Step 4: Simplify right side
    133,508x = 43,231,142,241
  5. Step 5: Solve for x
    x = 43,231,142,241/133,508
  6. Step 6: Final answer
    x = 323,809.38

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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.