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Finding the Third Proportional to 126,938 and 178,311

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Solution

The third proportional to 126,938 and 178,311 is: 250,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,938 : 178,311 = 178,311 : x
  2. Step 2: Convert to fraction form
    126,938/178,311 = 178,311/x
  3. Step 3: Cross multiply
    126,938x = 178,311 × 178,311
  4. Step 4: Simplify right side
    126,938x = 31,794,812,721
  5. Step 5: Solve for x
    x = 31,794,812,721/126,938
  6. Step 6: Final answer
    x = 250,475.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.