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Finding the Third Proportional to 215.69 and 329.94

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Solution

The third proportional to 215.69 and 329.94 is: 504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.69 : 329.94 = 329.94 : x
  2. Step 2: Convert to fraction form
    215.69/329.94 = 329.94/x
  3. Step 3: Cross multiply
    215.69x = 329.94 × 329.94
  4. Step 4: Simplify right side
    215.69x = 108,858.75
  5. Step 5: Solve for x
    x = 108,858.75/215.69
  6. Step 6: Final answer
    x = 504.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.