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Finding the Third Proportional to 326.85 and 718.24

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Solution

The third proportional to 326.85 and 718.24 is: 1,578.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.85 : 718.24 = 718.24 : x
  2. Step 2: Convert to fraction form
    326.85/718.24 = 718.24/x
  3. Step 3: Cross multiply
    326.85x = 718.24 × 718.24
  4. Step 4: Simplify right side
    326.85x = 515,871.84
  5. Step 5: Solve for x
    x = 515,871.84/326.85
  6. Step 6: Final answer
    x = 1,578.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.