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Finding the Third Proportional to 381,837 and 839,946

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Solution

The third proportional to 381,837 and 839,946 is: 1,847,671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,837 : 839,946 = 839,946 : x
  2. Step 2: Convert to fraction form
    381,837/839,946 = 839,946/x
  3. Step 3: Cross multiply
    381,837x = 839,946 × 839,946
  4. Step 4: Simplify right side
    381,837x = 705,509,282,916
  5. Step 5: Solve for x
    x = 705,509,282,916/381,837
  6. Step 6: Final answer
    x = 1,847,671.34

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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.