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Finding the Third Proportional to 63,856 and 138,902

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Solution

The third proportional to 63,856 and 138,902 is: 302,144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,856 : 138,902 = 138,902 : x
  2. Step 2: Convert to fraction form
    63,856/138,902 = 138,902/x
  3. Step 3: Cross multiply
    63,856x = 138,902 × 138,902
  4. Step 4: Simplify right side
    63,856x = 19,293,765,604
  5. Step 5: Solve for x
    x = 19,293,765,604/63,856
  6. Step 6: Final answer
    x = 302,144.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.