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Finding the Third Proportional to 321.47 and 482.20

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Solution

The third proportional to 321.47 and 482.20 is: 723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.47 : 482.20 = 482.20 : x
  2. Step 2: Convert to fraction form
    321.47/482.20 = 482.20/x
  3. Step 3: Cross multiply
    321.47x = 482.20 × 482.20
  4. Step 4: Simplify right side
    321.47x = 232,519.85
  5. Step 5: Solve for x
    x = 232,519.85/321.47
  6. Step 6: Final answer
    x = 723.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.