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Finding the Third Proportional to 61,751 and 126,415

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Solution

The third proportional to 61,751 and 126,415 is: 258,793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,751 : 126,415 = 126,415 : x
  2. Step 2: Convert to fraction form
    61,751/126,415 = 126,415/x
  3. Step 3: Cross multiply
    61,751x = 126,415 × 126,415
  4. Step 4: Simplify right side
    61,751x = 15,980,752,225
  5. Step 5: Solve for x
    x = 15,980,752,225/61,751
  6. Step 6: Final answer
    x = 258,793.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.