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Finding the Third Proportional to 204,637 and 419,114

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Solution

The third proportional to 204,637 and 419,114 is: 858,381.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,637 : 419,114 = 419,114 : x
  2. Step 2: Convert to fraction form
    204,637/419,114 = 419,114/x
  3. Step 3: Cross multiply
    204,637x = 419,114 × 419,114
  4. Step 4: Simplify right side
    204,637x = 175,656,544,996
  5. Step 5: Solve for x
    x = 175,656,544,996/204,637
  6. Step 6: Final answer
    x = 858,381.16

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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.