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Finding the Third Proportional to 231.94 and 310.97

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Solution

The third proportional to 231.94 and 310.97 is: 416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.94 : 310.97 = 310.97 : x
  2. Step 2: Convert to fraction form
    231.94/310.97 = 310.97/x
  3. Step 3: Cross multiply
    231.94x = 310.97 × 310.97
  4. Step 4: Simplify right side
    231.94x = 96,701.56
  5. Step 5: Solve for x
    x = 96,701.56/231.94
  6. Step 6: Final answer
    x = 416.93

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.