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Finding the Third Proportional to 198,678 and 283,741

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Solution

The third proportional to 198,678 and 283,741 is: 405,223.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,678 : 283,741 = 283,741 : x
  2. Step 2: Convert to fraction form
    198,678/283,741 = 283,741/x
  3. Step 3: Cross multiply
    198,678x = 283,741 × 283,741
  4. Step 4: Simplify right side
    198,678x = 80,508,955,081
  5. Step 5: Solve for x
    x = 80,508,955,081/198,678
  6. Step 6: Final answer
    x = 405,223.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.