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Finding the Third Proportional to 54.48 and 84.49

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Solution

The third proportional to 54.48 and 84.49 is: 131.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.48 : 84.49 = 84.49 : x
  2. Step 2: Convert to fraction form
    54.48/84.49 = 84.49/x
  3. Step 3: Cross multiply
    54.48x = 84.49 × 84.49
  4. Step 4: Simplify right side
    54.48x = 7,138.93
  5. Step 5: Solve for x
    x = 7,138.93/54.48
  6. Step 6: Final answer
    x = 131.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.