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Finding the Third Proportional to 138.94 and 159.19

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Solution

The third proportional to 138.94 and 159.19 is: 182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.94 : 159.19 = 159.19 : x
  2. Step 2: Convert to fraction form
    138.94/159.19 = 159.19/x
  3. Step 3: Cross multiply
    138.94x = 159.19 × 159.19
  4. Step 4: Simplify right side
    138.94x = 25,340.66
  5. Step 5: Solve for x
    x = 25,340.66/138.94
  6. Step 6: Final answer
    x = 182.39

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.