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Finding the Third Proportional to 216.19 and 289.97

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Solution

The third proportional to 216.19 and 289.97 is: 388.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.19 : 289.97 = 289.97 : x
  2. Step 2: Convert to fraction form
    216.19/289.97 = 289.97/x
  3. Step 3: Cross multiply
    216.19x = 289.97 × 289.97
  4. Step 4: Simplify right side
    216.19x = 84,081.88
  5. Step 5: Solve for x
    x = 84,081.88/216.19
  6. Step 6: Final answer
    x = 388.93

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.