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Finding the Third Proportional to 70.75 and 133.44

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Solution

The third proportional to 70.75 and 133.44 is: 251.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.75 : 133.44 = 133.44 : x
  2. Step 2: Convert to fraction form
    70.75/133.44 = 133.44/x
  3. Step 3: Cross multiply
    70.75x = 133.44 × 133.44
  4. Step 4: Simplify right side
    70.75x = 17,805.57
  5. Step 5: Solve for x
    x = 17,805.57/70.75
  6. Step 6: Final answer
    x = 251.67

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.