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Finding the Third Proportional to 320.36 and 481.97

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Solution

The third proportional to 320.36 and 481.97 is: 725.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.36 : 481.97 = 481.97 : x
  2. Step 2: Convert to fraction form
    320.36/481.97 = 481.97/x
  3. Step 3: Cross multiply
    320.36x = 481.97 × 481.97
  4. Step 4: Simplify right side
    320.36x = 232,291.05
  5. Step 5: Solve for x
    x = 232,291.05/320.36
  6. Step 6: Final answer
    x = 725.09

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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.