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Finding the Third Proportional to 63,721 and 138,517

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Solution

The third proportional to 63,721 and 138,517 is: 301,108.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,721 : 138,517 = 138,517 : x
  2. Step 2: Convert to fraction form
    63,721/138,517 = 138,517/x
  3. Step 3: Cross multiply
    63,721x = 138,517 × 138,517
  4. Step 4: Simplify right side
    63,721x = 19,186,959,289
  5. Step 5: Solve for x
    x = 19,186,959,289/63,721
  6. Step 6: Final answer
    x = 301,108.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.