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Finding the Third Proportional to 80,910.38 and 125,625.63

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Solution

The third proportional to 80,910.38 and 125,625.63 is: 195,052.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,910.38 : 125,625.63 = 125,625.63 : x
  2. Step 2: Convert to fraction form
    80,910.38/125,625.63 = 125,625.63/x
  3. Step 3: Cross multiply
    80,910.38x = 125,625.63 × 125,625.63
  4. Step 4: Simplify right side
    80,910.38x = 15,781,797,656.64
  5. Step 5: Solve for x
    x = 15,781,797,656.64/80,910.38
  6. Step 6: Final answer
    x = 195,052.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.