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Finding the Third Proportional to 80.21 and 120.31

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Solution

The third proportional to 80.21 and 120.31 is: 180.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.21 : 120.31 = 120.31 : x
  2. Step 2: Convert to fraction form
    80.21/120.31 = 120.31/x
  3. Step 3: Cross multiply
    80.21x = 120.31 × 120.31
  4. Step 4: Simplify right side
    80.21x = 14,475.33
  5. Step 5: Solve for x
    x = 14,475.33/80.21
  6. Step 6: Final answer
    x = 180.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.