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Finding the Third Proportional to 122,498 and 172,491

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Solution

The third proportional to 122,498 and 172,491 is: 242,886.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,498 : 172,491 = 172,491 : x
  2. Step 2: Convert to fraction form
    122,498/172,491 = 172,491/x
  3. Step 3: Cross multiply
    122,498x = 172,491 × 172,491
  4. Step 4: Simplify right side
    122,498x = 29,753,145,081
  5. Step 5: Solve for x
    x = 29,753,145,081/122,498
  6. Step 6: Final answer
    x = 242,886.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.