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Finding the Third Proportional to 120.45 and 281.18

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Solution

The third proportional to 120.45 and 281.18 is: 656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.45 : 281.18 = 281.18 : x
  2. Step 2: Convert to fraction form
    120.45/281.18 = 281.18/x
  3. Step 3: Cross multiply
    120.45x = 281.18 × 281.18
  4. Step 4: Simplify right side
    120.45x = 79,062.02
  5. Step 5: Solve for x
    x = 79,062.02/120.45
  6. Step 6: Final answer
    x = 656.41

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.