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Finding the Third Proportional to 91.49 and 132.43

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Solution

The third proportional to 91.49 and 132.43 is: 191.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.49 : 132.43 = 132.43 : x
  2. Step 2: Convert to fraction form
    91.49/132.43 = 132.43/x
  3. Step 3: Cross multiply
    91.49x = 132.43 × 132.43
  4. Step 4: Simplify right side
    91.49x = 17,536.46
  5. Step 5: Solve for x
    x = 17,536.46/91.49
  6. Step 6: Final answer
    x = 191.67

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.