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Finding the Third Proportional to 230.81 and 301.92

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Solution

The third proportional to 230.81 and 301.92 is: 394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.81 : 301.92 = 301.92 : x
  2. Step 2: Convert to fraction form
    230.81/301.92 = 301.92/x
  3. Step 3: Cross multiply
    230.81x = 301.92 × 301.92
  4. Step 4: Simplify right side
    230.81x = 91,156.82
  5. Step 5: Solve for x
    x = 91,156.82/230.81
  6. Step 6: Final answer
    x = 394.94

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.