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Finding the Third Proportional to 204,669 and 419,472

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Solution

The third proportional to 204,669 and 419,472 is: 859,713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,669 : 419,472 = 419,472 : x
  2. Step 2: Convert to fraction form
    204,669/419,472 = 419,472/x
  3. Step 3: Cross multiply
    204,669x = 419,472 × 419,472
  4. Step 4: Simplify right side
    204,669x = 175,956,758,784
  5. Step 5: Solve for x
    x = 175,956,758,784/204,669
  6. Step 6: Final answer
    x = 859,713.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.