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Finding the Third Proportional to 198,596 and 277,802

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Solution

The third proportional to 198,596 and 277,802 is: 388,597.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,596 : 277,802 = 277,802 : x
  2. Step 2: Convert to fraction form
    198,596/277,802 = 277,802/x
  3. Step 3: Cross multiply
    198,596x = 277,802 × 277,802
  4. Step 4: Simplify right side
    198,596x = 77,173,951,204
  5. Step 5: Solve for x
    x = 77,173,951,204/198,596
  6. Step 6: Final answer
    x = 388,597.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.