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Finding the Third Proportional to 63,498 and 139,449

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Solution

The third proportional to 63,498 and 139,449 is: 306,246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,498 : 139,449 = 139,449 : x
  2. Step 2: Convert to fraction form
    63,498/139,449 = 139,449/x
  3. Step 3: Cross multiply
    63,498x = 139,449 × 139,449
  4. Step 4: Simplify right side
    63,498x = 19,446,023,601
  5. Step 5: Solve for x
    x = 19,446,023,601/63,498
  6. Step 6: Final answer
    x = 306,246.24

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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.