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Finding the Third Proportional to 133.03 and 198.98

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Solution

The third proportional to 133.03 and 198.98 is: 297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.03 : 198.98 = 198.98 : x
  2. Step 2: Convert to fraction form
    133.03/198.98 = 198.98/x
  3. Step 3: Cross multiply
    133.03x = 198.98 × 198.98
  4. Step 4: Simplify right side
    133.03x = 39,594.78
  5. Step 5: Solve for x
    x = 39,594.78/133.03
  6. Step 6: Final answer
    x = 297.64

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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.