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Finding the Third Proportional to 204,642 and 419,122

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Solution

The third proportional to 204,642 and 419,122 is: 858,392.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,642 : 419,122 = 419,122 : x
  2. Step 2: Convert to fraction form
    204,642/419,122 = 419,122/x
  3. Step 3: Cross multiply
    204,642x = 419,122 × 419,122
  4. Step 4: Simplify right side
    204,642x = 175,663,250,884
  5. Step 5: Solve for x
    x = 175,663,250,884/204,642
  6. Step 6: Final answer
    x = 858,392.95

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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.