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Finding the Third Proportional to 54,920 and 80,436

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Solution

The third proportional to 54,920 and 80,436 is: 117,806.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,920 : 80,436 = 80,436 : x
  2. Step 2: Convert to fraction form
    54,920/80,436 = 80,436/x
  3. Step 3: Cross multiply
    54,920x = 80,436 × 80,436
  4. Step 4: Simplify right side
    54,920x = 6,469,950,096
  5. Step 5: Solve for x
    x = 6,469,950,096/54,920
  6. Step 6: Final answer
    x = 117,806.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.