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Finding the Third Proportional to 111,518 and 167,311

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Solution

The third proportional to 111,518 and 167,311 is: 251,017.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,518 : 167,311 = 167,311 : x
  2. Step 2: Convert to fraction form
    111,518/167,311 = 167,311/x
  3. Step 3: Cross multiply
    111,518x = 167,311 × 167,311
  4. Step 4: Simplify right side
    111,518x = 27,992,970,721
  5. Step 5: Solve for x
    x = 27,992,970,721/111,518
  6. Step 6: Final answer
    x = 251,017.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.