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Finding the Third Proportional to 27.19 and 38.66

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Solution

The third proportional to 27.19 and 38.66 is: 54.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.19 : 38.66 = 38.66 : x
  2. Step 2: Convert to fraction form
    27.19/38.66 = 38.66/x
  3. Step 3: Cross multiply
    27.19x = 38.66 × 38.66
  4. Step 4: Simplify right side
    27.19x = 1,494.31
  5. Step 5: Solve for x
    x = 1,494.31/27.19
  6. Step 6: Final answer
    x = 54.96

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.