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Finding the Third Proportional to 41.81 and 61.08

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Solution

The third proportional to 41.81 and 61.08 is: 89.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.81 : 61.08 = 61.08 : x
  2. Step 2: Convert to fraction form
    41.81/61.08 = 61.08/x
  3. Step 3: Cross multiply
    41.81x = 61.08 × 61.08
  4. Step 4: Simplify right side
    41.81x = 3,730.54
  5. Step 5: Solve for x
    x = 3,730.54/41.81
  6. Step 6: Final answer
    x = 89.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.