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Finding the Third Proportional to 27.11 and 55.65

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Solution

The third proportional to 27.11 and 55.65 is: 114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.11 : 55.65 = 55.65 : x
  2. Step 2: Convert to fraction form
    27.11/55.65 = 55.65/x
  3. Step 3: Cross multiply
    27.11x = 55.65 × 55.65
  4. Step 4: Simplify right side
    27.11x = 3,096.41
  5. Step 5: Solve for x
    x = 3,096.41/27.11
  6. Step 6: Final answer
    x = 114.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.