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Finding the Third Proportional to 57,739 and 126,809

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Solution

The third proportional to 57,739 and 126,809 is: 278,503.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,739 : 126,809 = 126,809 : x
  2. Step 2: Convert to fraction form
    57,739/126,809 = 126,809/x
  3. Step 3: Cross multiply
    57,739x = 126,809 × 126,809
  4. Step 4: Simplify right side
    57,739x = 16,080,522,481
  5. Step 5: Solve for x
    x = 16,080,522,481/57,739
  6. Step 6: Final answer
    x = 278,503.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.