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Finding the Third Proportional to 133,904 and 207,339

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Solution

The third proportional to 133,904 and 207,339 is: 321,046.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,904 : 207,339 = 207,339 : x
  2. Step 2: Convert to fraction form
    133,904/207,339 = 207,339/x
  3. Step 3: Cross multiply
    133,904x = 207,339 × 207,339
  4. Step 4: Simplify right side
    133,904x = 42,989,460,921
  5. Step 5: Solve for x
    x = 42,989,460,921/133,904
  6. Step 6: Final answer
    x = 321,046.88

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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.