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Finding the Third Proportional to 192.22 and 384.43

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Solution

The third proportional to 192.22 and 384.43 is: 768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.22 : 384.43 = 384.43 : x
  2. Step 2: Convert to fraction form
    192.22/384.43 = 384.43/x
  3. Step 3: Cross multiply
    192.22x = 384.43 × 384.43
  4. Step 4: Simplify right side
    192.22x = 147,789.19
  5. Step 5: Solve for x
    x = 147,789.19/192.22
  6. Step 6: Final answer
    x = 768.87

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.