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Finding the Third Proportional to 181.41 and 281.39

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Solution

The third proportional to 181.41 and 281.39 is: 436.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.41 : 281.39 = 281.39 : x
  2. Step 2: Convert to fraction form
    181.41/281.39 = 281.39/x
  3. Step 3: Cross multiply
    181.41x = 281.39 × 281.39
  4. Step 4: Simplify right side
    181.41x = 79,180.68
  5. Step 5: Solve for x
    x = 79,180.68/181.41
  6. Step 6: Final answer
    x = 436.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.