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Finding the Third Proportional to 54.12 and 99.42

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Solution

The third proportional to 54.12 and 99.42 is: 182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.12 : 99.42 = 99.42 : x
  2. Step 2: Convert to fraction form
    54.12/99.42 = 99.42/x
  3. Step 3: Cross multiply
    54.12x = 99.42 × 99.42
  4. Step 4: Simplify right side
    54.12x = 9,884.71
  5. Step 5: Solve for x
    x = 9,884.71/54.12
  6. Step 6: Final answer
    x = 182.65

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.