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Finding the Third Proportional to 54.72 and 83.83

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Solution

The third proportional to 54.72 and 83.83 is: 128.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.72 : 83.83 = 83.83 : x
  2. Step 2: Convert to fraction form
    54.72/83.83 = 83.83/x
  3. Step 3: Cross multiply
    54.72x = 83.83 × 83.83
  4. Step 4: Simplify right side
    54.72x = 7,027.15
  5. Step 5: Solve for x
    x = 7,027.15/54.72
  6. Step 6: Final answer
    x = 128.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.