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Finding the Third Proportional to 80,625 and 127,122

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Solution

The third proportional to 80,625 and 127,122 is: 200,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,625 : 127,122 = 127,122 : x
  2. Step 2: Convert to fraction form
    80,625/127,122 = 127,122/x
  3. Step 3: Cross multiply
    80,625x = 127,122 × 127,122
  4. Step 4: Simplify right side
    80,625x = 16,160,002,884
  5. Step 5: Solve for x
    x = 16,160,002,884/80,625
  6. Step 6: Final answer
    x = 200,434.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.