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Finding the Third Proportional to 12.76 and 27.54

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Solution

The third proportional to 12.76 and 27.54 is: 59.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.76 : 27.54 = 27.54 : x
  2. Step 2: Convert to fraction form
    12.76/27.54 = 27.54/x
  3. Step 3: Cross multiply
    12.76x = 27.54 × 27.54
  4. Step 4: Simplify right side
    12.76x = 758.30
  5. Step 5: Solve for x
    x = 758.30/12.76
  6. Step 6: Final answer
    x = 59.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.