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Finding the Third Proportional to 120.09 and 128.44

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Solution

The third proportional to 120.09 and 128.44 is: 137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.09 : 128.44 = 128.44 : x
  2. Step 2: Convert to fraction form
    120.09/128.44 = 128.44/x
  3. Step 3: Cross multiply
    120.09x = 128.44 × 128.44
  4. Step 4: Simplify right side
    120.09x = 16,496.19
  5. Step 5: Solve for x
    x = 16,496.19/120.09
  6. Step 6: Final answer
    x = 137.36

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.