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Finding the Third Proportional to 204,499 and 419,177

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Solution

The third proportional to 204,499 and 419,177 is: 859,218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,499 : 419,177 = 419,177 : x
  2. Step 2: Convert to fraction form
    204,499/419,177 = 419,177/x
  3. Step 3: Cross multiply
    204,499x = 419,177 × 419,177
  4. Step 4: Simplify right side
    204,499x = 175,709,357,329
  5. Step 5: Solve for x
    x = 175,709,357,329/204,499
  6. Step 6: Final answer
    x = 859,218.66

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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.