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Finding the Third Proportional to 66.94 and 150.97

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Solution

The third proportional to 66.94 and 150.97 is: 340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.94 : 150.97 = 150.97 : x
  2. Step 2: Convert to fraction form
    66.94/150.97 = 150.97/x
  3. Step 3: Cross multiply
    66.94x = 150.97 × 150.97
  4. Step 4: Simplify right side
    66.94x = 22,791.56
  5. Step 5: Solve for x
    x = 22,791.56/66.94
  6. Step 6: Final answer
    x = 340.49

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.