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Finding the Third Proportional to 198.88 and 297.13

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Solution

The third proportional to 198.88 and 297.13 is: 443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.88 : 297.13 = 297.13 : x
  2. Step 2: Convert to fraction form
    198.88/297.13 = 297.13/x
  3. Step 3: Cross multiply
    198.88x = 297.13 × 297.13
  4. Step 4: Simplify right side
    198.88x = 88,283.27
  5. Step 5: Solve for x
    x = 88,283.27/198.88
  6. Step 6: Final answer
    x = 443.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.