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Finding the Third Proportional to 40,923 and 81,657

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Solution

The third proportional to 40,923 and 81,657 is: 162,936.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,923 : 81,657 = 81,657 : x
  2. Step 2: Convert to fraction form
    40,923/81,657 = 81,657/x
  3. Step 3: Cross multiply
    40,923x = 81,657 × 81,657
  4. Step 4: Simplify right side
    40,923x = 6,667,865,649
  5. Step 5: Solve for x
    x = 6,667,865,649/40,923
  6. Step 6: Final answer
    x = 162,936.87

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.