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Finding the Third Proportional to 198,852 and 387,672

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Solution

The third proportional to 198,852 and 387,672 is: 755,786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,852 : 387,672 = 387,672 : x
  2. Step 2: Convert to fraction form
    198,852/387,672 = 387,672/x
  3. Step 3: Cross multiply
    198,852x = 387,672 × 387,672
  4. Step 4: Simplify right side
    198,852x = 150,289,579,584
  5. Step 5: Solve for x
    x = 150,289,579,584/198,852
  6. Step 6: Final answer
    x = 755,786.11

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.