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Finding the Third Proportional to 166.13 and 263.16

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Solution

The third proportional to 166.13 and 263.16 is: 416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.13 : 263.16 = 263.16 : x
  2. Step 2: Convert to fraction form
    166.13/263.16 = 263.16/x
  3. Step 3: Cross multiply
    166.13x = 263.16 × 263.16
  4. Step 4: Simplify right side
    166.13x = 69,251.21
  5. Step 5: Solve for x
    x = 69,251.21/166.13
  6. Step 6: Final answer
    x = 416.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.