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Finding the Third Proportional to 199.27 and 309.73

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Solution

The third proportional to 199.27 and 309.73 is: 481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.27 : 309.73 = 309.73 : x
  2. Step 2: Convert to fraction form
    199.27/309.73 = 309.73/x
  3. Step 3: Cross multiply
    199.27x = 309.73 × 309.73
  4. Step 4: Simplify right side
    199.27x = 95,930.54
  5. Step 5: Solve for x
    x = 95,930.54/199.27
  6. Step 6: Final answer
    x = 481.42

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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.