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Finding the Third Proportional to 103.22 and 221.34

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Solution

The third proportional to 103.22 and 221.34 is: 474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.22 : 221.34 = 221.34 : x
  2. Step 2: Convert to fraction form
    103.22/221.34 = 221.34/x
  3. Step 3: Cross multiply
    103.22x = 221.34 × 221.34
  4. Step 4: Simplify right side
    103.22x = 48,993.06
  5. Step 5: Solve for x
    x = 48,993.06/103.22
  6. Step 6: Final answer
    x = 474.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.