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Finding the Third Proportional to 205.38 and 318.23

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Solution

The third proportional to 205.38 and 318.23 is: 493.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 318.23 = 318.23 : x
  2. Step 2: Convert to fraction form
    205.38/318.23 = 318.23/x
  3. Step 3: Cross multiply
    205.38x = 318.23 × 318.23
  4. Step 4: Simplify right side
    205.38x = 101,273.12
  5. Step 5: Solve for x
    x = 101,273.12/205.38
  6. Step 6: Final answer
    x = 493.09

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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.