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Finding the Third Proportional to 199,072 and 277,493

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Solution

The third proportional to 199,072 and 277,493 is: 386,806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,072 : 277,493 = 277,493 : x
  2. Step 2: Convert to fraction form
    199,072/277,493 = 277,493/x
  3. Step 3: Cross multiply
    199,072x = 277,493 × 277,493
  4. Step 4: Simplify right side
    199,072x = 77,002,365,049
  5. Step 5: Solve for x
    x = 77,002,365,049/199,072
  6. Step 6: Final answer
    x = 386,806.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.