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Finding the Third Proportional to 206.34 and 319.97

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Solution

The third proportional to 206.34 and 319.97 is: 496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.34 : 319.97 = 319.97 : x
  2. Step 2: Convert to fraction form
    206.34/319.97 = 319.97/x
  3. Step 3: Cross multiply
    206.34x = 319.97 × 319.97
  4. Step 4: Simplify right side
    206.34x = 102,380.00
  5. Step 5: Solve for x
    x = 102,380.00/206.34
  6. Step 6: Final answer
    x = 496.16

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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.