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Finding the Third Proportional to 54.28 and 78.33

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Solution

The third proportional to 54.28 and 78.33 is: 113.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.28 : 78.33 = 78.33 : x
  2. Step 2: Convert to fraction form
    54.28/78.33 = 78.33/x
  3. Step 3: Cross multiply
    54.28x = 78.33 × 78.33
  4. Step 4: Simplify right side
    54.28x = 6,135.30
  5. Step 5: Solve for x
    x = 6,135.30/54.28
  6. Step 6: Final answer
    x = 113.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.