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Finding the Third Proportional to 88.44 and 140.69

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Solution

The third proportional to 88.44 and 140.69 is: 223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.44 : 140.69 = 140.69 : x
  2. Step 2: Convert to fraction form
    88.44/140.69 = 140.69/x
  3. Step 3: Cross multiply
    88.44x = 140.69 × 140.69
  4. Step 4: Simplify right side
    88.44x = 19,792.97
  5. Step 5: Solve for x
    x = 19,792.97/88.44
  6. Step 6: Final answer
    x = 223.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.