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Finding the Third Proportional to 12.05 and 26.77

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Solution

The third proportional to 12.05 and 26.77 is: 59.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.05 : 26.77 = 26.77 : x
  2. Step 2: Convert to fraction form
    12.05/26.77 = 26.77/x
  3. Step 3: Cross multiply
    12.05x = 26.77 × 26.77
  4. Step 4: Simplify right side
    12.05x = 716.40
  5. Step 5: Solve for x
    x = 716.40/12.05
  6. Step 6: Final answer
    x = 59.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.