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Finding the Third Proportional to 115.84 and 150.42

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Solution

The third proportional to 115.84 and 150.42 is: 195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.84 : 150.42 = 150.42 : x
  2. Step 2: Convert to fraction form
    115.84/150.42 = 150.42/x
  3. Step 3: Cross multiply
    115.84x = 150.42 × 150.42
  4. Step 4: Simplify right side
    115.84x = 22,626.74
  5. Step 5: Solve for x
    x = 22,626.74/115.84
  6. Step 6: Final answer
    x = 195.32

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.