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Finding the Third Proportional to 212.78 and 414.18

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Solution

The third proportional to 212.78 and 414.18 is: 806.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.78 : 414.18 = 414.18 : x
  2. Step 2: Convert to fraction form
    212.78/414.18 = 414.18/x
  3. Step 3: Cross multiply
    212.78x = 414.18 × 414.18
  4. Step 4: Simplify right side
    212.78x = 171,541.58
  5. Step 5: Solve for x
    x = 171,541.58/212.78
  6. Step 6: Final answer
    x = 806.18

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.