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Finding the Third Proportional to 217.79 and 295.47

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Solution

The third proportional to 217.79 and 295.47 is: 400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.79 : 295.47 = 295.47 : x
  2. Step 2: Convert to fraction form
    217.79/295.47 = 295.47/x
  3. Step 3: Cross multiply
    217.79x = 295.47 × 295.47
  4. Step 4: Simplify right side
    217.79x = 87,302.94
  5. Step 5: Solve for x
    x = 87,302.94/217.79
  6. Step 6: Final answer
    x = 400.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.