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Finding the Third Proportional to 206,228 and 436,864

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Solution

The third proportional to 206,228 and 436,864 is: 925,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,228 : 436,864 = 436,864 : x
  2. Step 2: Convert to fraction form
    206,228/436,864 = 436,864/x
  3. Step 3: Cross multiply
    206,228x = 436,864 × 436,864
  4. Step 4: Simplify right side
    206,228x = 190,850,154,496
  5. Step 5: Solve for x
    x = 190,850,154,496/206,228
  6. Step 6: Final answer
    x = 925,432.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.