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Finding the Third Proportional to 106.31 and 231.19

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Solution

The third proportional to 106.31 and 231.19 is: 502.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.31 : 231.19 = 231.19 : x
  2. Step 2: Convert to fraction form
    106.31/231.19 = 231.19/x
  3. Step 3: Cross multiply
    106.31x = 231.19 × 231.19
  4. Step 4: Simplify right side
    106.31x = 53,447.66
  5. Step 5: Solve for x
    x = 53,447.66/106.31
  6. Step 6: Final answer
    x = 502.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.