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Finding the Third Proportional to 204,777 and 425,902

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Solution

The third proportional to 204,777 and 425,902 is: 885,805.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,777 : 425,902 = 425,902 : x
  2. Step 2: Convert to fraction form
    204,777/425,902 = 425,902/x
  3. Step 3: Cross multiply
    204,777x = 425,902 × 425,902
  4. Step 4: Simplify right side
    204,777x = 181,392,513,604
  5. Step 5: Solve for x
    x = 181,392,513,604/204,777
  6. Step 6: Final answer
    x = 885,805.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.