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Finding the Third Proportional to 223.17 and 422.30

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Solution

The third proportional to 223.17 and 422.30 is: 799.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.17 : 422.30 = 422.30 : x
  2. Step 2: Convert to fraction form
    223.17/422.30 = 422.30/x
  3. Step 3: Cross multiply
    223.17x = 422.30 × 422.30
  4. Step 4: Simplify right side
    223.17x = 178,334.65
  5. Step 5: Solve for x
    x = 178,334.65/223.17
  6. Step 6: Final answer
    x = 799.09

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.