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Finding the Third Proportional to 205.92 and 314.95

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Solution

The third proportional to 205.92 and 314.95 is: 481.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.92 : 314.95 = 314.95 : x
  2. Step 2: Convert to fraction form
    205.92/314.95 = 314.95/x
  3. Step 3: Cross multiply
    205.92x = 314.95 × 314.95
  4. Step 4: Simplify right side
    205.92x = 99,195.47
  5. Step 5: Solve for x
    x = 99,195.47/205.92
  6. Step 6: Final answer
    x = 481.71

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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.