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Finding the Third Proportional to 199.34 and 422.79

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Solution

The third proportional to 199.34 and 422.79 is: 896.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.34 : 422.79 = 422.79 : x
  2. Step 2: Convert to fraction form
    199.34/422.79 = 422.79/x
  3. Step 3: Cross multiply
    199.34x = 422.79 × 422.79
  4. Step 4: Simplify right side
    199.34x = 178,750.59
  5. Step 5: Solve for x
    x = 178,750.59/199.34
  6. Step 6: Final answer
    x = 896.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.