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Finding the Third Proportional to 188.31 and 408.44

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Solution

The third proportional to 188.31 and 408.44 is: 885.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.31 : 408.44 = 408.44 : x
  2. Step 2: Convert to fraction form
    188.31/408.44 = 408.44/x
  3. Step 3: Cross multiply
    188.31x = 408.44 × 408.44
  4. Step 4: Simplify right side
    188.31x = 166,821.19
  5. Step 5: Solve for x
    x = 166,821.19/188.31
  6. Step 6: Final answer
    x = 885.87

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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.