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Finding the Third Proportional to 78,909 and 110,991

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Solution

The third proportional to 78,909 and 110,991 is: 156,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,909 : 110,991 = 110,991 : x
  2. Step 2: Convert to fraction form
    78,909/110,991 = 110,991/x
  3. Step 3: Cross multiply
    78,909x = 110,991 × 110,991
  4. Step 4: Simplify right side
    78,909x = 12,319,002,081
  5. Step 5: Solve for x
    x = 12,319,002,081/78,909
  6. Step 6: Final answer
    x = 156,116.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.