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Finding the Third Proportional to 204,648 and 419,439

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Solution

The third proportional to 204,648 and 419,439 is: 859,666.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,648 : 419,439 = 419,439 : x
  2. Step 2: Convert to fraction form
    204,648/419,439 = 419,439/x
  3. Step 3: Cross multiply
    204,648x = 419,439 × 419,439
  4. Step 4: Simplify right side
    204,648x = 175,929,074,721
  5. Step 5: Solve for x
    x = 175,929,074,721/204,648
  6. Step 6: Final answer
    x = 859,666.72

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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.