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Finding the Third Proportional to 40.91 and 89.41

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Solution

The third proportional to 40.91 and 89.41 is: 195.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.91 : 89.41 = 89.41 : x
  2. Step 2: Convert to fraction form
    40.91/89.41 = 89.41/x
  3. Step 3: Cross multiply
    40.91x = 89.41 × 89.41
  4. Step 4: Simplify right side
    40.91x = 7,993.48
  5. Step 5: Solve for x
    x = 7,993.48/40.91
  6. Step 6: Final answer
    x = 195.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.