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Finding the Third Proportional to 381,806 and 862,619

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Solution

The third proportional to 381,806 and 862,619 is: 1,948,925.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,806 : 862,619 = 862,619 : x
  2. Step 2: Convert to fraction form
    381,806/862,619 = 862,619/x
  3. Step 3: Cross multiply
    381,806x = 862,619 × 862,619
  4. Step 4: Simplify right side
    381,806x = 744,111,539,161
  5. Step 5: Solve for x
    x = 744,111,539,161/381,806
  6. Step 6: Final answer
    x = 1,948,925.73

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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.