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Finding the Third Proportional to 381,874.50 and 839,990.25

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Solution

The third proportional to 381,874.50 and 839,990.25 is: 1,847,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,874.50 : 839,990.25 = 839,990.25 : x
  2. Step 2: Convert to fraction form
    381,874.50/839,990.25 = 839,990.25/x
  3. Step 3: Cross multiply
    381,874.50x = 839,990.25 × 839,990.25
  4. Step 4: Simplify right side
    381,874.50x = 705,583,620,095.06
  5. Step 5: Solve for x
    x = 705,583,620,095.06/381,874.50
  6. Step 6: Final answer
    x = 1,847,684.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.