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Finding the Third Proportional to 89.88 and 216.44

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Solution

The third proportional to 89.88 and 216.44 is: 521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.88 : 216.44 = 216.44 : x
  2. Step 2: Convert to fraction form
    89.88/216.44 = 216.44/x
  3. Step 3: Cross multiply
    89.88x = 216.44 × 216.44
  4. Step 4: Simplify right side
    89.88x = 46,845.19
  5. Step 5: Solve for x
    x = 46,845.19/89.88
  6. Step 6: Final answer
    x = 521.23

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.