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Finding the Third Proportional to 222.33 and 312.96

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Solution

The third proportional to 222.33 and 312.96 is: 440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.33 : 312.96 = 312.96 : x
  2. Step 2: Convert to fraction form
    222.33/312.96 = 312.96/x
  3. Step 3: Cross multiply
    222.33x = 312.96 × 312.96
  4. Step 4: Simplify right side
    222.33x = 97,944.55
  5. Step 5: Solve for x
    x = 97,944.55/222.33
  6. Step 6: Final answer
    x = 440.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.