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Finding the Third Proportional to 43.52 and 91.84

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Solution

The third proportional to 43.52 and 91.84 is: 193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.52 : 91.84 = 91.84 : x
  2. Step 2: Convert to fraction form
    43.52/91.84 = 91.84/x
  3. Step 3: Cross multiply
    43.52x = 91.84 × 91.84
  4. Step 4: Simplify right side
    43.52x = 8,434.02
  5. Step 5: Solve for x
    x = 8,434.02/43.52
  6. Step 6: Final answer
    x = 193.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.