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Finding the Third Proportional to 40,812 and 90,396

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Solution

The third proportional to 40,812 and 90,396 is: 200,221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,812 : 90,396 = 90,396 : x
  2. Step 2: Convert to fraction form
    40,812/90,396 = 90,396/x
  3. Step 3: Cross multiply
    40,812x = 90,396 × 90,396
  4. Step 4: Simplify right side
    40,812x = 8,171,436,816
  5. Step 5: Solve for x
    x = 8,171,436,816/40,812
  6. Step 6: Final answer
    x = 200,221.43

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.