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Finding the Third Proportional to 59,138 and 81,027

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Solution

The third proportional to 59,138 and 81,027 is: 111,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,138 : 81,027 = 81,027 : x
  2. Step 2: Convert to fraction form
    59,138/81,027 = 81,027/x
  3. Step 3: Cross multiply
    59,138x = 81,027 × 81,027
  4. Step 4: Simplify right side
    59,138x = 6,565,374,729
  5. Step 5: Solve for x
    x = 6,565,374,729/59,138
  6. Step 6: Final answer
    x = 111,017.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.