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Finding the Third Proportional to 62,731 and 138,098

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Solution

The third proportional to 62,731 and 138,098 is: 304,013.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,731 : 138,098 = 138,098 : x
  2. Step 2: Convert to fraction form
    62,731/138,098 = 138,098/x
  3. Step 3: Cross multiply
    62,731x = 138,098 × 138,098
  4. Step 4: Simplify right side
    62,731x = 19,071,057,604
  5. Step 5: Solve for x
    x = 19,071,057,604/62,731
  6. Step 6: Final answer
    x = 304,013.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.