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Finding the Third Proportional to 187,892 and 394,248

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Solution

The third proportional to 187,892 and 394,248 is: 827,238.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,892 : 394,248 = 394,248 : x
  2. Step 2: Convert to fraction form
    187,892/394,248 = 394,248/x
  3. Step 3: Cross multiply
    187,892x = 394,248 × 394,248
  4. Step 4: Simplify right side
    187,892x = 155,431,485,504
  5. Step 5: Solve for x
    x = 155,431,485,504/187,892
  6. Step 6: Final answer
    x = 827,238.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.