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Finding the Third Proportional to 36,909 and 54,132

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Solution

The third proportional to 36,909 and 54,132 is: 79,391.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,909 : 54,132 = 54,132 : x
  2. Step 2: Convert to fraction form
    36,909/54,132 = 54,132/x
  3. Step 3: Cross multiply
    36,909x = 54,132 × 54,132
  4. Step 4: Simplify right side
    36,909x = 2,930,273,424
  5. Step 5: Solve for x
    x = 2,930,273,424/36,909
  6. Step 6: Final answer
    x = 79,391.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.