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Finding the Third Proportional to 221.06 and 239.44

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Solution

The third proportional to 221.06 and 239.44 is: 259.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.06 : 239.44 = 239.44 : x
  2. Step 2: Convert to fraction form
    221.06/239.44 = 239.44/x
  3. Step 3: Cross multiply
    221.06x = 239.44 × 239.44
  4. Step 4: Simplify right side
    221.06x = 57,330.32
  5. Step 5: Solve for x
    x = 57,330.32/221.06
  6. Step 6: Final answer
    x = 259.34

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.