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Finding the Third Proportional to 381,822 and 862,659

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Solution

The third proportional to 381,822 and 862,659 is: 1,949,024.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,822 : 862,659 = 862,659 : x
  2. Step 2: Convert to fraction form
    381,822/862,659 = 862,659/x
  3. Step 3: Cross multiply
    381,822x = 862,659 × 862,659
  4. Step 4: Simplify right side
    381,822x = 744,180,550,281
  5. Step 5: Solve for x
    x = 744,180,550,281/381,822
  6. Step 6: Final answer
    x = 1,949,024.81

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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.