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Finding the Third Proportional to 206,211 and 309,864

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Solution

The third proportional to 206,211 and 309,864 is: 465,618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,211 : 309,864 = 309,864 : x
  2. Step 2: Convert to fraction form
    206,211/309,864 = 309,864/x
  3. Step 3: Cross multiply
    206,211x = 309,864 × 309,864
  4. Step 4: Simplify right side
    206,211x = 96,015,698,496
  5. Step 5: Solve for x
    x = 96,015,698,496/206,211
  6. Step 6: Final answer
    x = 465,618.70

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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.