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Finding the Third Proportional to 230.38 and 321.94

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Solution

The third proportional to 230.38 and 321.94 is: 449.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.38 : 321.94 = 321.94 : x
  2. Step 2: Convert to fraction form
    230.38/321.94 = 321.94/x
  3. Step 3: Cross multiply
    230.38x = 321.94 × 321.94
  4. Step 4: Simplify right side
    230.38x = 103,643.75
  5. Step 5: Solve for x
    x = 103,643.75/230.38
  6. Step 6: Final answer
    x = 449.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.