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Finding the Third Proportional to 54.75 and 118.22

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Solution

The third proportional to 54.75 and 118.22 is: 255.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.75 : 118.22 = 118.22 : x
  2. Step 2: Convert to fraction form
    54.75/118.22 = 118.22/x
  3. Step 3: Cross multiply
    54.75x = 118.22 × 118.22
  4. Step 4: Simplify right side
    54.75x = 13,975.67
  5. Step 5: Solve for x
    x = 13,975.67/54.75
  6. Step 6: Final answer
    x = 255.26

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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.