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Finding the Third Proportional to 221.48 and 269.37

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Solution

The third proportional to 221.48 and 269.37 is: 327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.48 : 269.37 = 269.37 : x
  2. Step 2: Convert to fraction form
    221.48/269.37 = 269.37/x
  3. Step 3: Cross multiply
    221.48x = 269.37 × 269.37
  4. Step 4: Simplify right side
    221.48x = 72,558.68
  5. Step 5: Solve for x
    x = 72,558.68/221.48
  6. Step 6: Final answer
    x = 327.60

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.