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Finding the Third Proportional to 54 and 83.74

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Solution

The third proportional to 54 and 83.74 is: 129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54 : 83.74 = 83.74 : x
  2. Step 2: Convert to fraction form
    54/83.74 = 83.74/x
  3. Step 3: Cross multiply
    54x = 83.74 × 83.74
  4. Step 4: Simplify right side
    54x = 7,012.75
  5. Step 5: Solve for x
    x = 7,012.75/54
  6. Step 6: Final answer
    x = 129.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.