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Finding the Third Proportional to 133.19 and 246.97

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Solution

The third proportional to 133.19 and 246.97 is: 457.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.19 : 246.97 = 246.97 : x
  2. Step 2: Convert to fraction form
    133.19/246.97 = 246.97/x
  3. Step 3: Cross multiply
    133.19x = 246.97 × 246.97
  4. Step 4: Simplify right side
    133.19x = 60,993.56
  5. Step 5: Solve for x
    x = 60,993.56/133.19
  6. Step 6: Final answer
    x = 457.95

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.