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Finding the Third Proportional to 128.36 and 281.23

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Solution

The third proportional to 128.36 and 281.23 is: 616.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.36 : 281.23 = 281.23 : x
  2. Step 2: Convert to fraction form
    128.36/281.23 = 281.23/x
  3. Step 3: Cross multiply
    128.36x = 281.23 × 281.23
  4. Step 4: Simplify right side
    128.36x = 79,091.68
  5. Step 5: Solve for x
    x = 79,091.68/128.36
  6. Step 6: Final answer
    x = 616.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.