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Finding the Third Proportional to 204,650 and 419,443

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Solution

The third proportional to 204,650 and 419,443 is: 859,674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,650 : 419,443 = 419,443 : x
  2. Step 2: Convert to fraction form
    204,650/419,443 = 419,443/x
  3. Step 3: Cross multiply
    204,650x = 419,443 × 419,443
  4. Step 4: Simplify right side
    204,650x = 175,932,430,249
  5. Step 5: Solve for x
    x = 175,932,430,249/204,650
  6. Step 6: Final answer
    x = 859,674.71

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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.