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Finding the Third Proportional to 27 and 34.88

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Solution

The third proportional to 27 and 34.88 is: 45.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27 : 34.88 = 34.88 : x
  2. Step 2: Convert to fraction form
    27/34.88 = 34.88/x
  3. Step 3: Cross multiply
    27x = 34.88 × 34.88
  4. Step 4: Simplify right side
    27x = 1,216.27
  5. Step 5: Solve for x
    x = 1,216.27/27
  6. Step 6: Final answer
    x = 45.05

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.