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Finding the Third Proportional to 187,517 and 381,997

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Solution

The third proportional to 187,517 and 381,997 is: 778,178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,517 : 381,997 = 381,997 : x
  2. Step 2: Convert to fraction form
    187,517/381,997 = 381,997/x
  3. Step 3: Cross multiply
    187,517x = 381,997 × 381,997
  4. Step 4: Simplify right side
    187,517x = 145,921,708,009
  5. Step 5: Solve for x
    x = 145,921,708,009/187,517
  6. Step 6: Final answer
    x = 778,178.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.