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Finding the Third Proportional to 198,600 and 277,809

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Solution

The third proportional to 198,600 and 277,809 is: 388,609.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,600 : 277,809 = 277,809 : x
  2. Step 2: Convert to fraction form
    198,600/277,809 = 277,809/x
  3. Step 3: Cross multiply
    198,600x = 277,809 × 277,809
  4. Step 4: Simplify right side
    198,600x = 77,177,840,481
  5. Step 5: Solve for x
    x = 77,177,840,481/198,600
  6. Step 6: Final answer
    x = 388,609.47

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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.