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Finding the Third Proportional to 18.81 and 26.91

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Solution

The third proportional to 18.81 and 26.91 is: 38.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.81 : 26.91 = 26.91 : x
  2. Step 2: Convert to fraction form
    18.81/26.91 = 26.91/x
  3. Step 3: Cross multiply
    18.81x = 26.91 × 26.91
  4. Step 4: Simplify right side
    18.81x = 723.95
  5. Step 5: Solve for x
    x = 723.95/18.81
  6. Step 6: Final answer
    x = 38.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.