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Finding the Third Proportional to 54.33 and 118.73

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Solution

The third proportional to 54.33 and 118.73 is: 259.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.33 : 118.73 = 118.73 : x
  2. Step 2: Convert to fraction form
    54.33/118.73 = 118.73/x
  3. Step 3: Cross multiply
    54.33x = 118.73 × 118.73
  4. Step 4: Simplify right side
    54.33x = 14,097.85
  5. Step 5: Solve for x
    x = 14,097.85/54.33
  6. Step 6: Final answer
    x = 259.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.