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Finding the Third Proportional to 203.06 and 219.56

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Solution

The third proportional to 203.06 and 219.56 is: 237.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.06 : 219.56 = 219.56 : x
  2. Step 2: Convert to fraction form
    203.06/219.56 = 219.56/x
  3. Step 3: Cross multiply
    203.06x = 219.56 × 219.56
  4. Step 4: Simplify right side
    203.06x = 48,207.69
  5. Step 5: Solve for x
    x = 48,207.69/203.06
  6. Step 6: Final answer
    x = 237.40

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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.