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Finding the Third Proportional to 38.91 and 91.92

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Solution

The third proportional to 38.91 and 91.92 is: 217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.91 : 91.92 = 91.92 : x
  2. Step 2: Convert to fraction form
    38.91/91.92 = 91.92/x
  3. Step 3: Cross multiply
    38.91x = 91.92 × 91.92
  4. Step 4: Simplify right side
    38.91x = 8,449.63
  5. Step 5: Solve for x
    x = 8,449.63/38.91
  6. Step 6: Final answer
    x = 217.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.