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Finding the Third Proportional to 57,918 and 126,909

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Solution

The third proportional to 57,918 and 126,909 is: 278,080.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,918 : 126,909 = 126,909 : x
  2. Step 2: Convert to fraction form
    57,918/126,909 = 126,909/x
  3. Step 3: Cross multiply
    57,918x = 126,909 × 126,909
  4. Step 4: Simplify right side
    57,918x = 16,105,894,281
  5. Step 5: Solve for x
    x = 16,105,894,281/57,918
  6. Step 6: Final answer
    x = 278,080.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.