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Finding the Third Proportional to 199.78 and 422.06

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Solution

The third proportional to 199.78 and 422.06 is: 891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.78 : 422.06 = 422.06 : x
  2. Step 2: Convert to fraction form
    199.78/422.06 = 422.06/x
  3. Step 3: Cross multiply
    199.78x = 422.06 × 422.06
  4. Step 4: Simplify right side
    199.78x = 178,136.75
  5. Step 5: Solve for x
    x = 178,136.75/199.78
  6. Step 6: Final answer
    x = 891.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.