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Finding the Third Proportional to 222.38 and 392.44

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Solution

The third proportional to 222.38 and 392.44 is: 692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.38 : 392.44 = 392.44 : x
  2. Step 2: Convert to fraction form
    222.38/392.44 = 392.44/x
  3. Step 3: Cross multiply
    222.38x = 392.44 × 392.44
  4. Step 4: Simplify right side
    222.38x = 154,007.19
  5. Step 5: Solve for x
    x = 154,007.19/222.38
  6. Step 6: Final answer
    x = 692.56

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.