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Finding the Third Proportional to 381,368 and 839,152

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Solution

The third proportional to 381,368 and 839,152 is: 1,846,447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,368 : 839,152 = 839,152 : x
  2. Step 2: Convert to fraction form
    381,368/839,152 = 839,152/x
  3. Step 3: Cross multiply
    381,368x = 839,152 × 839,152
  4. Step 4: Simplify right side
    381,368x = 704,176,079,104
  5. Step 5: Solve for x
    x = 704,176,079,104/381,368
  6. Step 6: Final answer
    x = 1,846,447.73

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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.