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Finding the Third Proportional to 181.48 and 396.91

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Solution

The third proportional to 181.48 and 396.91 is: 868.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.48 : 396.91 = 396.91 : x
  2. Step 2: Convert to fraction form
    181.48/396.91 = 396.91/x
  3. Step 3: Cross multiply
    181.48x = 396.91 × 396.91
  4. Step 4: Simplify right side
    181.48x = 157,540.77
  5. Step 5: Solve for x
    x = 157,540.77/181.48
  6. Step 6: Final answer
    x = 868.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.