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Finding the Third Proportional to 206,729 and 311,304

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Solution

The third proportional to 206,729 and 311,304 is: 468,778.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,729 : 311,304 = 311,304 : x
  2. Step 2: Convert to fraction form
    206,729/311,304 = 311,304/x
  3. Step 3: Cross multiply
    206,729x = 311,304 × 311,304
  4. Step 4: Simplify right side
    206,729x = 96,910,180,416
  5. Step 5: Solve for x
    x = 96,910,180,416/206,729
  6. Step 6: Final answer
    x = 468,778.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.