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Finding the Third Proportional to 198,936 and 387,720

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Solution

The third proportional to 198,936 and 387,720 is: 755,654.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,936 : 387,720 = 387,720 : x
  2. Step 2: Convert to fraction form
    198,936/387,720 = 387,720/x
  3. Step 3: Cross multiply
    198,936x = 387,720 × 387,720
  4. Step 4: Simplify right side
    198,936x = 150,326,798,400
  5. Step 5: Solve for x
    x = 150,326,798,400/198,936
  6. Step 6: Final answer
    x = 755,654.07

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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.