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Finding the Third Proportional to 18.91 and 40.81

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Solution

The third proportional to 18.91 and 40.81 is: 88.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.91 : 40.81 = 40.81 : x
  2. Step 2: Convert to fraction form
    18.91/40.81 = 40.81/x
  3. Step 3: Cross multiply
    18.91x = 40.81 × 40.81
  4. Step 4: Simplify right side
    18.91x = 1,665.66
  5. Step 5: Solve for x
    x = 1,665.66/18.91
  6. Step 6: Final answer
    x = 88.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.