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Finding the Third Proportional to 80,486 and 122,067

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Solution

The third proportional to 80,486 and 122,067 is: 185,129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,486 : 122,067 = 122,067 : x
  2. Step 2: Convert to fraction form
    80,486/122,067 = 122,067/x
  3. Step 3: Cross multiply
    80,486x = 122,067 × 122,067
  4. Step 4: Simplify right side
    80,486x = 14,900,352,489
  5. Step 5: Solve for x
    x = 14,900,352,489/80,486
  6. Step 6: Final answer
    x = 185,129.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.