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Finding the Third Proportional to 206,996 and 311,517

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Solution

The third proportional to 206,996 and 311,517 is: 468,815.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,996 : 311,517 = 311,517 : x
  2. Step 2: Convert to fraction form
    206,996/311,517 = 311,517/x
  3. Step 3: Cross multiply
    206,996x = 311,517 × 311,517
  4. Step 4: Simplify right side
    206,996x = 97,042,841,289
  5. Step 5: Solve for x
    x = 97,042,841,289/206,996
  6. Step 6: Final answer
    x = 468,815.06

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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.