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Finding the Third Proportional to 146.11 and 308.39

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Solution

The third proportional to 146.11 and 308.39 is: 650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.11 : 308.39 = 308.39 : x
  2. Step 2: Convert to fraction form
    146.11/308.39 = 308.39/x
  3. Step 3: Cross multiply
    146.11x = 308.39 × 308.39
  4. Step 4: Simplify right side
    146.11x = 95,104.78
  5. Step 5: Solve for x
    x = 95,104.78/146.11
  6. Step 6: Final answer
    x = 650.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.