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Finding the Third Proportional to 203,427 and 425,444

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Solution

The third proportional to 203,427 and 425,444 is: 889,766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,427 : 425,444 = 425,444 : x
  2. Step 2: Convert to fraction form
    203,427/425,444 = 425,444/x
  3. Step 3: Cross multiply
    203,427x = 425,444 × 425,444
  4. Step 4: Simplify right side
    203,427x = 181,002,597,136
  5. Step 5: Solve for x
    x = 181,002,597,136/203,427
  6. Step 6: Final answer
    x = 889,766.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.