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Finding the Third Proportional to 205,800 and 309,186

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Solution

The third proportional to 205,800 and 309,186 is: 464,509.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,800 : 309,186 = 309,186 : x
  2. Step 2: Convert to fraction form
    205,800/309,186 = 309,186/x
  3. Step 3: Cross multiply
    205,800x = 309,186 × 309,186
  4. Step 4: Simplify right side
    205,800x = 95,595,982,596
  5. Step 5: Solve for x
    x = 95,595,982,596/205,800
  6. Step 6: Final answer
    x = 464,509.15

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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.