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Finding the Third Proportional to 111,712 and 156,266

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Solution

The third proportional to 111,712 and 156,266 is: 218,589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,712 : 156,266 = 156,266 : x
  2. Step 2: Convert to fraction form
    111,712/156,266 = 156,266/x
  3. Step 3: Cross multiply
    111,712x = 156,266 × 156,266
  4. Step 4: Simplify right side
    111,712x = 24,419,062,756
  5. Step 5: Solve for x
    x = 24,419,062,756/111,712
  6. Step 6: Final answer
    x = 218,589.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.