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Finding the Third Proportional to 323.25 and 471.19

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Solution

The third proportional to 323.25 and 471.19 is: 686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.25 : 471.19 = 471.19 : x
  2. Step 2: Convert to fraction form
    323.25/471.19 = 471.19/x
  3. Step 3: Cross multiply
    323.25x = 471.19 × 471.19
  4. Step 4: Simplify right side
    323.25x = 222,017.66
  5. Step 5: Solve for x
    x = 222,017.66/323.25
  6. Step 6: Final answer
    x = 686.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.