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Finding the Third Proportional to 321.79 and 441.39

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Solution

The third proportional to 321.79 and 441.39 is: 605.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.79 : 441.39 = 441.39 : x
  2. Step 2: Convert to fraction form
    321.79/441.39 = 441.39/x
  3. Step 3: Cross multiply
    321.79x = 441.39 × 441.39
  4. Step 4: Simplify right side
    321.79x = 194,822.24
  5. Step 5: Solve for x
    x = 194,822.24/321.79
  6. Step 6: Final answer
    x = 605.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.