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Finding the Third Proportional to 27.23 and 55.73

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Solution

The third proportional to 27.23 and 55.73 is: 114.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.23 : 55.73 = 55.73 : x
  2. Step 2: Convert to fraction form
    27.23/55.73 = 55.73/x
  3. Step 3: Cross multiply
    27.23x = 55.73 × 55.73
  4. Step 4: Simplify right side
    27.23x = 3,106.32
  5. Step 5: Solve for x
    x = 3,106.32/27.23
  6. Step 6: Final answer
    x = 114.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.