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Finding the Third Proportional to 322.75 and 356.75

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Solution

The third proportional to 322.75 and 356.75 is: 394.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.75 : 356.75 = 356.75 : x
  2. Step 2: Convert to fraction form
    322.75/356.75 = 356.75/x
  3. Step 3: Cross multiply
    322.75x = 356.75 × 356.75
  4. Step 4: Simplify right side
    322.75x = 127,270.56
  5. Step 5: Solve for x
    x = 127,270.56/322.75
  6. Step 6: Final answer
    x = 394.33

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.