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Finding the Third Proportional to 102.66 and 221.34

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Solution

The third proportional to 102.66 and 221.34 is: 477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.66 : 221.34 = 221.34 : x
  2. Step 2: Convert to fraction form
    102.66/221.34 = 221.34/x
  3. Step 3: Cross multiply
    102.66x = 221.34 × 221.34
  4. Step 4: Simplify right side
    102.66x = 48,993.06
  5. Step 5: Solve for x
    x = 48,993.06/102.66
  6. Step 6: Final answer
    x = 477.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.