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Finding the Third Proportional to 27.21 and 38.92

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Solution

The third proportional to 27.21 and 38.92 is: 55.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.21 : 38.92 = 38.92 : x
  2. Step 2: Convert to fraction form
    27.21/38.92 = 38.92/x
  3. Step 3: Cross multiply
    27.21x = 38.92 × 38.92
  4. Step 4: Simplify right side
    27.21x = 1,514.61
  5. Step 5: Solve for x
    x = 1,514.61/27.21
  6. Step 6: Final answer
    x = 55.66

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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.