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Finding the Third Proportional to 326.44 and 663.84

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Solution

The third proportional to 326.44 and 663.84 is: 1,349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.44 : 663.84 = 663.84 : x
  2. Step 2: Convert to fraction form
    326.44/663.84 = 663.84/x
  3. Step 3: Cross multiply
    326.44x = 663.84 × 663.84
  4. Step 4: Simplify right side
    326.44x = 440,688.52
  5. Step 5: Solve for x
    x = 440,688.52/326.44
  6. Step 6: Final answer
    x = 1,349.99

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.