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Finding the Third Proportional to 206,847 and 316,287

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Solution

The third proportional to 206,847 and 316,287 is: 483,630.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,847 : 316,287 = 316,287 : x
  2. Step 2: Convert to fraction form
    206,847/316,287 = 316,287/x
  3. Step 3: Cross multiply
    206,847x = 316,287 × 316,287
  4. Step 4: Simplify right side
    206,847x = 100,037,466,369
  5. Step 5: Solve for x
    x = 100,037,466,369/206,847
  6. Step 6: Final answer
    x = 483,630.25

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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.