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Finding the Third Proportional to 41.81 and 91.17

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Solution

The third proportional to 41.81 and 91.17 is: 198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.81 : 91.17 = 91.17 : x
  2. Step 2: Convert to fraction form
    41.81/91.17 = 91.17/x
  3. Step 3: Cross multiply
    41.81x = 91.17 × 91.17
  4. Step 4: Simplify right side
    41.81x = 8,312.31
  5. Step 5: Solve for x
    x = 8,312.31/41.81
  6. Step 6: Final answer
    x = 198.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.