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Finding the Third Proportional to 204,639 and 419,118

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Solution

The third proportional to 204,639 and 419,118 is: 858,389.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,639 : 419,118 = 419,118 : x
  2. Step 2: Convert to fraction form
    204,639/419,118 = 419,118/x
  3. Step 3: Cross multiply
    204,639x = 419,118 × 419,118
  4. Step 4: Simplify right side
    204,639x = 175,659,897,924
  5. Step 5: Solve for x
    x = 175,659,897,924/204,639
  6. Step 6: Final answer
    x = 858,389.15

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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.