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Finding the Third Proportional to 206.72 and 319.78

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Solution

The third proportional to 206.72 and 319.78 is: 494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.72 : 319.78 = 319.78 : x
  2. Step 2: Convert to fraction form
    206.72/319.78 = 319.78/x
  3. Step 3: Cross multiply
    206.72x = 319.78 × 319.78
  4. Step 4: Simplify right side
    206.72x = 102,260.05
  5. Step 5: Solve for x
    x = 102,260.05/206.72
  6. Step 6: Final answer
    x = 494.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.