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Finding the Third Proportional to 206.38 and 319.63

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Solution

The third proportional to 206.38 and 319.63 is: 495.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.38 : 319.63 = 319.63 : x
  2. Step 2: Convert to fraction form
    206.38/319.63 = 319.63/x
  3. Step 3: Cross multiply
    206.38x = 319.63 × 319.63
  4. Step 4: Simplify right side
    206.38x = 102,160.14
  5. Step 5: Solve for x
    x = 102,160.14/206.38
  6. Step 6: Final answer
    x = 495.02

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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.