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Finding the Third Proportional to 178,013 and 275,543

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Solution

The third proportional to 178,013 and 275,543 is: 426,507.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,013 : 275,543 = 275,543 : x
  2. Step 2: Convert to fraction form
    178,013/275,543 = 275,543/x
  3. Step 3: Cross multiply
    178,013x = 275,543 × 275,543
  4. Step 4: Simplify right side
    178,013x = 75,923,944,849
  5. Step 5: Solve for x
    x = 75,923,944,849/178,013
  6. Step 6: Final answer
    x = 426,507.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.