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Finding the Third Proportional to 13.38 and 27.88

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Solution

The third proportional to 13.38 and 27.88 is: 58.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.38 : 27.88 = 27.88 : x
  2. Step 2: Convert to fraction form
    13.38/27.88 = 27.88/x
  3. Step 3: Cross multiply
    13.38x = 27.88 × 27.88
  4. Step 4: Simplify right side
    13.38x = 777.02
  5. Step 5: Solve for x
    x = 777.02/13.38
  6. Step 6: Final answer
    x = 58.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.