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Finding the Third Proportional to 205,832 and 309,234

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Solution

The third proportional to 205,832 and 309,234 is: 464,581.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,832 : 309,234 = 309,234 : x
  2. Step 2: Convert to fraction form
    205,832/309,234 = 309,234/x
  3. Step 3: Cross multiply
    205,832x = 309,234 × 309,234
  4. Step 4: Simplify right side
    205,832x = 95,625,666,756
  5. Step 5: Solve for x
    x = 95,625,666,756/205,832
  6. Step 6: Final answer
    x = 464,581.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.