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Finding the Third Proportional to 121.82 and 181.30

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Solution

The third proportional to 121.82 and 181.30 is: 269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.82 : 181.30 = 181.30 : x
  2. Step 2: Convert to fraction form
    121.82/181.30 = 181.30/x
  3. Step 3: Cross multiply
    121.82x = 181.30 × 181.30
  4. Step 4: Simplify right side
    121.82x = 32,869.97
  5. Step 5: Solve for x
    x = 32,869.97/121.82
  6. Step 6: Final answer
    x = 269.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.