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Finding the Third Proportional to 73,857 and 110,763

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Solution

The third proportional to 73,857 and 110,763 is: 166,110.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,857 : 110,763 = 110,763 : x
  2. Step 2: Convert to fraction form
    73,857/110,763 = 110,763/x
  3. Step 3: Cross multiply
    73,857x = 110,763 × 110,763
  4. Step 4: Simplify right side
    73,857x = 12,268,442,169
  5. Step 5: Solve for x
    x = 12,268,442,169/73,857
  6. Step 6: Final answer
    x = 166,110.76

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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.