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Finding the Third Proportional to 328.22 and 721.41

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Solution

The third proportional to 328.22 and 721.41 is: 1,585.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.22 : 721.41 = 721.41 : x
  2. Step 2: Convert to fraction form
    328.22/721.41 = 721.41/x
  3. Step 3: Cross multiply
    328.22x = 721.41 × 721.41
  4. Step 4: Simplify right side
    328.22x = 520,426.98
  5. Step 5: Solve for x
    x = 520,426.98/328.22
  6. Step 6: Final answer
    x = 1,585.61

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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.