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Finding the Third Proportional to 381,820 and 862,652

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Solution

The third proportional to 381,820 and 862,652 is: 1,949,003.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,820 : 862,652 = 862,652 : x
  2. Step 2: Convert to fraction form
    381,820/862,652 = 862,652/x
  3. Step 3: Cross multiply
    381,820x = 862,652 × 862,652
  4. Step 4: Simplify right side
    381,820x = 744,168,473,104
  5. Step 5: Solve for x
    x = 744,168,473,104/381,820
  6. Step 6: Final answer
    x = 1,949,003.39

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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.