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Finding the Third Proportional to 54.78 and 126.06

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Solution

The third proportional to 54.78 and 126.06 is: 290.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.78 : 126.06 = 126.06 : x
  2. Step 2: Convert to fraction form
    54.78/126.06 = 126.06/x
  3. Step 3: Cross multiply
    54.78x = 126.06 × 126.06
  4. Step 4: Simplify right side
    54.78x = 15,891.75
  5. Step 5: Solve for x
    x = 15,891.75/54.78
  6. Step 6: Final answer
    x = 290.09

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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.