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Finding the Third Proportional to 187,404 and 396,543

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Solution

The third proportional to 187,404 and 396,543 is: 839,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,404 : 396,543 = 396,543 : x
  2. Step 2: Convert to fraction form
    187,404/396,543 = 396,543/x
  3. Step 3: Cross multiply
    187,404x = 396,543 × 396,543
  4. Step 4: Simplify right side
    187,404x = 157,246,350,849
  5. Step 5: Solve for x
    x = 157,246,350,849/187,404
  6. Step 6: Final answer
    x = 839,076.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.