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Finding the Third Proportional to 63,498 and 138,801

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Solution

The third proportional to 63,498 and 138,801 is: 303,406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,498 : 138,801 = 138,801 : x
  2. Step 2: Convert to fraction form
    63,498/138,801 = 138,801/x
  3. Step 3: Cross multiply
    63,498x = 138,801 × 138,801
  4. Step 4: Simplify right side
    63,498x = 19,265,717,601
  5. Step 5: Solve for x
    x = 19,265,717,601/63,498
  6. Step 6: Final answer
    x = 303,406.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.