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Finding the Third Proportional to 83.44 and 120.09

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Solution

The third proportional to 83.44 and 120.09 is: 172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.44 : 120.09 = 120.09 : x
  2. Step 2: Convert to fraction form
    83.44/120.09 = 120.09/x
  3. Step 3: Cross multiply
    83.44x = 120.09 × 120.09
  4. Step 4: Simplify right side
    83.44x = 14,422.51
  5. Step 5: Solve for x
    x = 14,422.51/83.44
  6. Step 6: Final answer
    x = 172.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.