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Finding the Third Proportional to 80.23 and 121.15

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Solution

The third proportional to 80.23 and 121.15 is: 182.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.23 : 121.15 = 121.15 : x
  2. Step 2: Convert to fraction form
    80.23/121.15 = 121.15/x
  3. Step 3: Cross multiply
    80.23x = 121.15 × 121.15
  4. Step 4: Simplify right side
    80.23x = 14,676.94
  5. Step 5: Solve for x
    x = 14,676.94/80.23
  6. Step 6: Final answer
    x = 182.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.