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Finding the Third Proportional to 219.56 and 446.72

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Solution

The third proportional to 219.56 and 446.72 is: 908.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.56 : 446.72 = 446.72 : x
  2. Step 2: Convert to fraction form
    219.56/446.72 = 446.72/x
  3. Step 3: Cross multiply
    219.56x = 446.72 × 446.72
  4. Step 4: Simplify right side
    219.56x = 199,557.64
  5. Step 5: Solve for x
    x = 199,557.64/219.56
  6. Step 6: Final answer
    x = 908.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.