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Finding the Third Proportional to 204,653 and 419,143

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Solution

The third proportional to 204,653 and 419,143 is: 858,432.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,653 : 419,143 = 419,143 : x
  2. Step 2: Convert to fraction form
    204,653/419,143 = 419,143/x
  3. Step 3: Cross multiply
    204,653x = 419,143 × 419,143
  4. Step 4: Simplify right side
    204,653x = 175,680,854,449
  5. Step 5: Solve for x
    x = 175,680,854,449/204,653
  6. Step 6: Final answer
    x = 858,432.83

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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.