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Finding the Third Proportional to 146.11 and 321.33

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Solution

The third proportional to 146.11 and 321.33 is: 706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.11 : 321.33 = 321.33 : x
  2. Step 2: Convert to fraction form
    146.11/321.33 = 321.33/x
  3. Step 3: Cross multiply
    146.11x = 321.33 × 321.33
  4. Step 4: Simplify right side
    146.11x = 103,251.76
  5. Step 5: Solve for x
    x = 103,251.76/146.11
  6. Step 6: Final answer
    x = 706.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.