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Finding the Third Proportional to 166.08 and 216.21

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Solution

The third proportional to 166.08 and 216.21 is: 281.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.08 : 216.21 = 216.21 : x
  2. Step 2: Convert to fraction form
    166.08/216.21 = 216.21/x
  3. Step 3: Cross multiply
    166.08x = 216.21 × 216.21
  4. Step 4: Simplify right side
    166.08x = 46,747.17
  5. Step 5: Solve for x
    x = 46,747.17/166.08
  6. Step 6: Final answer
    x = 281.48

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.