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Finding the Third Proportional to 198,781.50 and 397,401

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Solution

The third proportional to 198,781.50 and 397,401 is: 794,478.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,781.50 : 397,401 = 397,401 : x
  2. Step 2: Convert to fraction form
    198,781.50/397,401 = 397,401/x
  3. Step 3: Cross multiply
    198,781.50x = 397,401 × 397,401
  4. Step 4: Simplify right side
    198,781.50x = 157,927,554,801
  5. Step 5: Solve for x
    x = 157,927,554,801/198,781.50
  6. Step 6: Final answer
    x = 794,478.13

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.