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Finding the Third Proportional to 381,804 and 862,614

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Solution

The third proportional to 381,804 and 862,614 is: 1,948,913.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,804 : 862,614 = 862,614 : x
  2. Step 2: Convert to fraction form
    381,804/862,614 = 862,614/x
  3. Step 3: Cross multiply
    381,804x = 862,614 × 862,614
  4. Step 4: Simplify right side
    381,804x = 744,102,912,996
  5. Step 5: Solve for x
    x = 744,102,912,996/381,804
  6. Step 6: Final answer
    x = 1,948,913.35

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.