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Finding the Third Proportional to 223.06 and 311.69

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Solution

The third proportional to 223.06 and 311.69 is: 435.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.06 : 311.69 = 311.69 : x
  2. Step 2: Convert to fraction form
    223.06/311.69 = 311.69/x
  3. Step 3: Cross multiply
    223.06x = 311.69 × 311.69
  4. Step 4: Simplify right side
    223.06x = 97,149.10
  5. Step 5: Solve for x
    x = 97,149.10/223.06
  6. Step 6: Final answer
    x = 435.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.