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Finding the Third Proportional to 253,474 and 354,375

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Solution

The third proportional to 253,474 and 354,375 is: 495,441.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,474 : 354,375 = 354,375 : x
  2. Step 2: Convert to fraction form
    253,474/354,375 = 354,375/x
  3. Step 3: Cross multiply
    253,474x = 354,375 × 354,375
  4. Step 4: Simplify right side
    253,474x = 125,581,640,625
  5. Step 5: Solve for x
    x = 125,581,640,625/253,474
  6. Step 6: Final answer
    x = 495,441.90

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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.