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Finding the Third Proportional to 321.13 and 467.38

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Solution

The third proportional to 321.13 and 467.38 is: 680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.13 : 467.38 = 467.38 : x
  2. Step 2: Convert to fraction form
    321.13/467.38 = 467.38/x
  3. Step 3: Cross multiply
    321.13x = 467.38 × 467.38
  4. Step 4: Simplify right side
    321.13x = 218,439.39
  5. Step 5: Solve for x
    x = 218,439.39/321.13
  6. Step 6: Final answer
    x = 680.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.