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Finding the Third Proportional to 102.56 and 217.78

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Solution

The third proportional to 102.56 and 217.78 is: 462.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.56 : 217.78 = 217.78 : x
  2. Step 2: Convert to fraction form
    102.56/217.78 = 217.78/x
  3. Step 3: Cross multiply
    102.56x = 217.78 × 217.78
  4. Step 4: Simplify right side
    102.56x = 47,428.67
  5. Step 5: Solve for x
    x = 47,428.67/102.56
  6. Step 6: Final answer
    x = 462.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.