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Finding the Third Proportional to 18,832 and 41,794.50

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Solution

The third proportional to 18,832 and 41,794.50 is: 92,755.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,832 : 41,794.50 = 41,794.50 : x
  2. Step 2: Convert to fraction form
    18,832/41,794.50 = 41,794.50/x
  3. Step 3: Cross multiply
    18,832x = 41,794.50 × 41,794.50
  4. Step 4: Simplify right side
    18,832x = 1,746,780,230.25
  5. Step 5: Solve for x
    x = 1,746,780,230.25/18,832
  6. Step 6: Final answer
    x = 92,755.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.