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Finding the Third Proportional to 143.25 and 222.38

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Solution

The third proportional to 143.25 and 222.38 is: 345.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.25 : 222.38 = 222.38 : x
  2. Step 2: Convert to fraction form
    143.25/222.38 = 222.38/x
  3. Step 3: Cross multiply
    143.25x = 222.38 × 222.38
  4. Step 4: Simplify right side
    143.25x = 49,450.64
  5. Step 5: Solve for x
    x = 49,450.64/143.25
  6. Step 6: Final answer
    x = 345.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.