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Finding the Third Proportional to 253,650 and 379,782

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Solution

The third proportional to 253,650 and 379,782 is: 568,635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,650 : 379,782 = 379,782 : x
  2. Step 2: Convert to fraction form
    253,650/379,782 = 379,782/x
  3. Step 3: Cross multiply
    253,650x = 379,782 × 379,782
  4. Step 4: Simplify right side
    253,650x = 144,234,367,524
  5. Step 5: Solve for x
    x = 144,234,367,524/253,650
  6. Step 6: Final answer
    x = 568,635.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.