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Finding the Third Proportional to 133,790 and 207,384

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Solution

The third proportional to 133,790 and 207,384 is: 321,459.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,790 : 207,384 = 207,384 : x
  2. Step 2: Convert to fraction form
    133,790/207,384 = 207,384/x
  3. Step 3: Cross multiply
    133,790x = 207,384 × 207,384
  4. Step 4: Simplify right side
    133,790x = 43,008,123,456
  5. Step 5: Solve for x
    x = 43,008,123,456/133,790
  6. Step 6: Final answer
    x = 321,459.93

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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.