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Finding the Third Proportional to 27.31 and 41.92

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Solution

The third proportional to 27.31 and 41.92 is: 64.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.31 : 41.92 = 41.92 : x
  2. Step 2: Convert to fraction form
    27.31/41.92 = 41.92/x
  3. Step 3: Cross multiply
    27.31x = 41.92 × 41.92
  4. Step 4: Simplify right side
    27.31x = 1,757.44
  5. Step 5: Solve for x
    x = 1,757.44/27.31
  6. Step 6: Final answer
    x = 64.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.