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Finding the Third Proportional to 166.36 and 181.55

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Solution

The third proportional to 166.36 and 181.55 is: 198.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.36 : 181.55 = 181.55 : x
  2. Step 2: Convert to fraction form
    166.36/181.55 = 181.55/x
  3. Step 3: Cross multiply
    166.36x = 181.55 × 181.55
  4. Step 4: Simplify right side
    166.36x = 32,959.27
  5. Step 5: Solve for x
    x = 32,959.27/166.36
  6. Step 6: Final answer
    x = 198.12

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.