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Finding the Third Proportional to 216.94 and 339.66

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Solution

The third proportional to 216.94 and 339.66 is: 531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.94 : 339.66 = 339.66 : x
  2. Step 2: Convert to fraction form
    216.94/339.66 = 339.66/x
  3. Step 3: Cross multiply
    216.94x = 339.66 × 339.66
  4. Step 4: Simplify right side
    216.94x = 115,366.37
  5. Step 5: Solve for x
    x = 115,366.37/216.94
  6. Step 6: Final answer
    x = 531.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.