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Finding the Third Proportional to 212.75 and 219.88

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Solution

The third proportional to 212.75 and 219.88 is: 227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.75 : 219.88 = 219.88 : x
  2. Step 2: Convert to fraction form
    212.75/219.88 = 219.88/x
  3. Step 3: Cross multiply
    212.75x = 219.88 × 219.88
  4. Step 4: Simplify right side
    212.75x = 48,345.02
  5. Step 5: Solve for x
    x = 48,345.02/212.75
  6. Step 6: Final answer
    x = 227.24

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.