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Finding the Third Proportional to 57,778 and 126,882

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Solution

The third proportional to 57,778 and 126,882 is: 278,636.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,778 : 126,882 = 126,882 : x
  2. Step 2: Convert to fraction form
    57,778/126,882 = 126,882/x
  3. Step 3: Cross multiply
    57,778x = 126,882 × 126,882
  4. Step 4: Simplify right side
    57,778x = 16,099,041,924
  5. Step 5: Solve for x
    x = 16,099,041,924/57,778
  6. Step 6: Final answer
    x = 278,636.19

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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.