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Finding the Third Proportional to 326.13 and 679.13

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Solution

The third proportional to 326.13 and 679.13 is: 1,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.13 : 679.13 = 679.13 : x
  2. Step 2: Convert to fraction form
    326.13/679.13 = 679.13/x
  3. Step 3: Cross multiply
    326.13x = 679.13 × 679.13
  4. Step 4: Simplify right side
    326.13x = 461,210.77
  5. Step 5: Solve for x
    x = 461,210.77/326.13
  6. Step 6: Final answer
    x = 1,414.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.