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Finding the Third Proportional to 203,476 and 425,539

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Solution

The third proportional to 203,476 and 425,539 is: 889,949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,476 : 425,539 = 425,539 : x
  2. Step 2: Convert to fraction form
    203,476/425,539 = 425,539/x
  3. Step 3: Cross multiply
    203,476x = 425,539 × 425,539
  4. Step 4: Simplify right side
    203,476x = 181,083,440,521
  5. Step 5: Solve for x
    x = 181,083,440,521/203,476
  6. Step 6: Final answer
    x = 889,949.87

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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.