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Finding the Third Proportional to 216.58 and 223.07

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Solution

The third proportional to 216.58 and 223.07 is: 229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.58 : 223.07 = 223.07 : x
  2. Step 2: Convert to fraction form
    216.58/223.07 = 223.07/x
  3. Step 3: Cross multiply
    216.58x = 223.07 × 223.07
  4. Step 4: Simplify right side
    216.58x = 49,758.62
  5. Step 5: Solve for x
    x = 49,758.62/216.58
  6. Step 6: Final answer
    x = 229.75

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.