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Finding the Third Proportional to 43.92 and 91.03

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Solution

The third proportional to 43.92 and 91.03 is: 188.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.92 : 91.03 = 91.03 : x
  2. Step 2: Convert to fraction form
    43.92/91.03 = 91.03/x
  3. Step 3: Cross multiply
    43.92x = 91.03 × 91.03
  4. Step 4: Simplify right side
    43.92x = 8,286.69
  5. Step 5: Solve for x
    x = 8,286.69/43.92
  6. Step 6: Final answer
    x = 188.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.