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Finding the Third Proportional to 217.69 and 378.42

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Solution

The third proportional to 217.69 and 378.42 is: 657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.69 : 378.42 = 378.42 : x
  2. Step 2: Convert to fraction form
    217.69/378.42 = 378.42/x
  3. Step 3: Cross multiply
    217.69x = 378.42 × 378.42
  4. Step 4: Simplify right side
    217.69x = 143,203.12
  5. Step 5: Solve for x
    x = 143,203.12/217.69
  6. Step 6: Final answer
    x = 657.84

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.