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Finding the Third Proportional to 63,853 and 138,874

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Solution

The third proportional to 63,853 and 138,874 is: 302,037.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,853 : 138,874 = 138,874 : x
  2. Step 2: Convert to fraction form
    63,853/138,874 = 138,874/x
  3. Step 3: Cross multiply
    63,853x = 138,874 × 138,874
  4. Step 4: Simplify right side
    63,853x = 19,285,987,876
  5. Step 5: Solve for x
    x = 19,285,987,876/63,853
  6. Step 6: Final answer
    x = 302,037.30

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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.