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Finding the Third Proportional to 323.21 and 482.68

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Solution

The third proportional to 323.21 and 482.68 is: 720.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.21 : 482.68 = 482.68 : x
  2. Step 2: Convert to fraction form
    323.21/482.68 = 482.68/x
  3. Step 3: Cross multiply
    323.21x = 482.68 × 482.68
  4. Step 4: Simplify right side
    323.21x = 232,977.80
  5. Step 5: Solve for x
    x = 232,977.80/323.21
  6. Step 6: Final answer
    x = 720.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.