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Finding the Third Proportional to 81.94 and 216.09

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Solution

The third proportional to 81.94 and 216.09 is: 569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.94 : 216.09 = 216.09 : x
  2. Step 2: Convert to fraction form
    81.94/216.09 = 216.09/x
  3. Step 3: Cross multiply
    81.94x = 216.09 × 216.09
  4. Step 4: Simplify right side
    81.94x = 46,696.51
  5. Step 5: Solve for x
    x = 46,696.51/81.94
  6. Step 6: Final answer
    x = 569.90

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Why These Related Problems?

These problems maintain the same ratio (2.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.