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Finding the Third Proportional to 57,411 and 126,138

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Solution

The third proportional to 57,411 and 126,138 is: 277,138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,411 : 126,138 = 126,138 : x
  2. Step 2: Convert to fraction form
    57,411/126,138 = 126,138/x
  3. Step 3: Cross multiply
    57,411x = 126,138 × 126,138
  4. Step 4: Simplify right side
    57,411x = 15,910,795,044
  5. Step 5: Solve for x
    x = 15,910,795,044/57,411
  6. Step 6: Final answer
    x = 277,138.44

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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.