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Finding the Third Proportional to 41.39 and 91.08

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Solution

The third proportional to 41.39 and 91.08 is: 200.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.39 : 91.08 = 91.08 : x
  2. Step 2: Convert to fraction form
    41.39/91.08 = 91.08/x
  3. Step 3: Cross multiply
    41.39x = 91.08 × 91.08
  4. Step 4: Simplify right side
    41.39x = 8,295.22
  5. Step 5: Solve for x
    x = 8,295.22/41.39
  6. Step 6: Final answer
    x = 200.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.