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Finding the Third Proportional to 81,098 and 187,949

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Solution

The third proportional to 81,098 and 187,949 is: 435,581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,098 : 187,949 = 187,949 : x
  2. Step 2: Convert to fraction form
    81,098/187,949 = 187,949/x
  3. Step 3: Cross multiply
    81,098x = 187,949 × 187,949
  4. Step 4: Simplify right side
    81,098x = 35,324,826,601
  5. Step 5: Solve for x
    x = 35,324,826,601/81,098
  6. Step 6: Final answer
    x = 435,581.97

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.