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Finding the Third Proportional to 126,638 and 270,227

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Solution

The third proportional to 126,638 and 270,227 is: 576,624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,638 : 270,227 = 270,227 : x
  2. Step 2: Convert to fraction form
    126,638/270,227 = 270,227/x
  3. Step 3: Cross multiply
    126,638x = 270,227 × 270,227
  4. Step 4: Simplify right side
    126,638x = 73,022,631,529
  5. Step 5: Solve for x
    x = 73,022,631,529/126,638
  6. Step 6: Final answer
    x = 576,624.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.