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Finding the Third Proportional to 321.05 and 668.67

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Solution

The third proportional to 321.05 and 668.67 is: 1,392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.05 : 668.67 = 668.67 : x
  2. Step 2: Convert to fraction form
    321.05/668.67 = 668.67/x
  3. Step 3: Cross multiply
    321.05x = 668.67 × 668.67
  4. Step 4: Simplify right side
    321.05x = 447,122.08
  5. Step 5: Solve for x
    x = 447,122.08/321.05
  6. Step 6: Final answer
    x = 1,392.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.