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Finding the Third Proportional to 206,972 and 316,398

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Solution

The third proportional to 206,972 and 316,398 is: 483,677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,972 : 316,398 = 316,398 : x
  2. Step 2: Convert to fraction form
    206,972/316,398 = 316,398/x
  3. Step 3: Cross multiply
    206,972x = 316,398 × 316,398
  4. Step 4: Simplify right side
    206,972x = 100,107,694,404
  5. Step 5: Solve for x
    x = 100,107,694,404/206,972
  6. Step 6: Final answer
    x = 483,677.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.