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Finding the Third Proportional to 38,778 and 80,436

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Solution

The third proportional to 38,778 and 80,436 is: 166,845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,778 : 80,436 = 80,436 : x
  2. Step 2: Convert to fraction form
    38,778/80,436 = 80,436/x
  3. Step 3: Cross multiply
    38,778x = 80,436 × 80,436
  4. Step 4: Simplify right side
    38,778x = 6,469,950,096
  5. Step 5: Solve for x
    x = 6,469,950,096/38,778
  6. Step 6: Final answer
    x = 166,845.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.