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Finding the Third Proportional to 249.94 and 323.91

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Solution

The third proportional to 249.94 and 323.91 is: 419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.94 : 323.91 = 323.91 : x
  2. Step 2: Convert to fraction form
    249.94/323.91 = 323.91/x
  3. Step 3: Cross multiply
    249.94x = 323.91 × 323.91
  4. Step 4: Simplify right side
    249.94x = 104,915.26
  5. Step 5: Solve for x
    x = 104,915.26/249.94
  6. Step 6: Final answer
    x = 419.77

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.