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Finding the Third Proportional to 12.73 and 27.77

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Solution

The third proportional to 12.73 and 27.77 is: 60.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.73 : 27.77 = 27.77 : x
  2. Step 2: Convert to fraction form
    12.73/27.77 = 27.77/x
  3. Step 3: Cross multiply
    12.73x = 27.77 × 27.77
  4. Step 4: Simplify right side
    12.73x = 771.36
  5. Step 5: Solve for x
    x = 771.36/12.73
  6. Step 6: Final answer
    x = 60.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.