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Finding the Third Proportional to 17.81 and 27.94

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Solution

The third proportional to 17.81 and 27.94 is: 43.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.81 : 27.94 = 27.94 : x
  2. Step 2: Convert to fraction form
    17.81/27.94 = 27.94/x
  3. Step 3: Cross multiply
    17.81x = 27.94 × 27.94
  4. Step 4: Simplify right side
    17.81x = 780.50
  5. Step 5: Solve for x
    x = 780.50/17.81
  6. Step 6: Final answer
    x = 43.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.