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Finding the Third Proportional to 198.38 and 297.94

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Solution

The third proportional to 198.38 and 297.94 is: 447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.38 : 297.94 = 297.94 : x
  2. Step 2: Convert to fraction form
    198.38/297.94 = 297.94/x
  3. Step 3: Cross multiply
    198.38x = 297.94 × 297.94
  4. Step 4: Simplify right side
    198.38x = 88,766.75
  5. Step 5: Solve for x
    x = 88,766.75/198.38
  6. Step 6: Final answer
    x = 447.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.