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Finding the Third Proportional to 57,917 and 126,907

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Solution

The third proportional to 57,917 and 126,907 is: 278,077.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,917 : 126,907 = 126,907 : x
  2. Step 2: Convert to fraction form
    57,917/126,907 = 126,907/x
  3. Step 3: Cross multiply
    57,917x = 126,907 × 126,907
  4. Step 4: Simplify right side
    57,917x = 16,105,386,649
  5. Step 5: Solve for x
    x = 16,105,386,649/57,917
  6. Step 6: Final answer
    x = 278,077.02

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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.