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Finding the Third Proportional to 54 and 124.45

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Solution

The third proportional to 54 and 124.45 is: 286.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54 : 124.45 = 124.45 : x
  2. Step 2: Convert to fraction form
    54/124.45 = 124.45/x
  3. Step 3: Cross multiply
    54x = 124.45 × 124.45
  4. Step 4: Simplify right side
    54x = 15,488.58
  5. Step 5: Solve for x
    x = 15,488.58/54
  6. Step 6: Final answer
    x = 286.83

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.