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Finding the Third Proportional to 204,519 and 418,950

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Solution

The third proportional to 204,519 and 418,950 is: 858,204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,519 : 418,950 = 418,950 : x
  2. Step 2: Convert to fraction form
    204,519/418,950 = 418,950/x
  3. Step 3: Cross multiply
    204,519x = 418,950 × 418,950
  4. Step 4: Simplify right side
    204,519x = 175,519,102,500
  5. Step 5: Solve for x
    x = 175,519,102,500/204,519
  6. Step 6: Final answer
    x = 858,204.38

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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.