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Finding the Third Proportional to 279,750 and 419,529

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Solution

The third proportional to 279,750 and 419,529 is: 629,149.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,750 : 419,529 = 419,529 : x
  2. Step 2: Convert to fraction form
    279,750/419,529 = 419,529/x
  3. Step 3: Cross multiply
    279,750x = 419,529 × 419,529
  4. Step 4: Simplify right side
    279,750x = 176,004,581,841
  5. Step 5: Solve for x
    x = 176,004,581,841/279,750
  6. Step 6: Final answer
    x = 629,149.53

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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.