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Finding the Third Proportional to 212.44 and 380.56

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Solution

The third proportional to 212.44 and 380.56 is: 681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.44 : 380.56 = 380.56 : x
  2. Step 2: Convert to fraction form
    212.44/380.56 = 380.56/x
  3. Step 3: Cross multiply
    212.44x = 380.56 × 380.56
  4. Step 4: Simplify right side
    212.44x = 144,827.82
  5. Step 5: Solve for x
    x = 144,827.82/212.44
  6. Step 6: Final answer
    x = 681.74

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.