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Finding the Third Proportional to 231.29 and 335.07

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Solution

The third proportional to 231.29 and 335.07 is: 485.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.29 : 335.07 = 335.07 : x
  2. Step 2: Convert to fraction form
    231.29/335.07 = 335.07/x
  3. Step 3: Cross multiply
    231.29x = 335.07 × 335.07
  4. Step 4: Simplify right side
    231.29x = 112,274.73
  5. Step 5: Solve for x
    x = 112,274.73/231.29
  6. Step 6: Final answer
    x = 485.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.