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Finding the Third Proportional to 137,380 and 217,949

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Solution

The third proportional to 137,380 and 217,949 is: 345,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,380 : 217,949 = 217,949 : x
  2. Step 2: Convert to fraction form
    137,380/217,949 = 217,949/x
  3. Step 3: Cross multiply
    137,380x = 217,949 × 217,949
  4. Step 4: Simplify right side
    137,380x = 47,501,766,601
  5. Step 5: Solve for x
    x = 47,501,766,601/137,380
  6. Step 6: Final answer
    x = 345,769.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.