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Finding the Third Proportional to 279,749 and 419,527

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Solution

The third proportional to 279,749 and 419,527 is: 629,145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,749 : 419,527 = 419,527 : x
  2. Step 2: Convert to fraction form
    279,749/419,527 = 419,527/x
  3. Step 3: Cross multiply
    279,749x = 419,527 × 419,527
  4. Step 4: Simplify right side
    279,749x = 176,002,903,729
  5. Step 5: Solve for x
    x = 176,002,903,729/279,749
  6. Step 6: Final answer
    x = 629,145.78

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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.