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Finding the Third Proportional to 253,170 and 381,375

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Solution

The third proportional to 253,170 and 381,375 is: 574,502.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,170 : 381,375 = 381,375 : x
  2. Step 2: Convert to fraction form
    253,170/381,375 = 381,375/x
  3. Step 3: Cross multiply
    253,170x = 381,375 × 381,375
  4. Step 4: Simplify right side
    253,170x = 145,446,890,625
  5. Step 5: Solve for x
    x = 145,446,890,625/253,170
  6. Step 6: Final answer
    x = 574,502.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.