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Finding the Third Proportional to 133.19 and 195.97

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Solution

The third proportional to 133.19 and 195.97 is: 288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.19 : 195.97 = 195.97 : x
  2. Step 2: Convert to fraction form
    133.19/195.97 = 195.97/x
  3. Step 3: Cross multiply
    133.19x = 195.97 × 195.97
  4. Step 4: Simplify right side
    133.19x = 38,403.75
  5. Step 5: Solve for x
    x = 38,403.75/133.19
  6. Step 6: Final answer
    x = 288.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.