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Finding the Third Proportional to 204,514.88 and 418,942.13

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Solution

The third proportional to 204,514.88 and 418,942.13 is: 858,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,514.88 : 418,942.13 = 418,942.13 : x
  2. Step 2: Convert to fraction form
    204,514.88/418,942.13 = 418,942.13/x
  3. Step 3: Cross multiply
    204,514.88x = 418,942.13 × 418,942.13
  4. Step 4: Simplify right side
    204,514.88x = 175,512,504,099.52
  5. Step 5: Solve for x
    x = 175,512,504,099.52/204,514.88
  6. Step 6: Final answer
    x = 858,189.43

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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.