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Finding the Third Proportional to 54 and 83.95

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Solution

The third proportional to 54 and 83.95 is: 130.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54 : 83.95 = 83.95 : x
  2. Step 2: Convert to fraction form
    54/83.95 = 83.95/x
  3. Step 3: Cross multiply
    54x = 83.95 × 83.95
  4. Step 4: Simplify right side
    54x = 7,048.13
  5. Step 5: Solve for x
    x = 7,048.13/54
  6. Step 6: Final answer
    x = 130.52

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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.