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Finding the Third Proportional to 223.75 and 518.13

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Solution

The third proportional to 223.75 and 518.13 is: 1,199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.75 : 518.13 = 518.13 : x
  2. Step 2: Convert to fraction form
    223.75/518.13 = 518.13/x
  3. Step 3: Cross multiply
    223.75x = 518.13 × 518.13
  4. Step 4: Simplify right side
    223.75x = 268,453.52
  5. Step 5: Solve for x
    x = 268,453.52/223.75
  6. Step 6: Final answer
    x = 1,199.79

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.