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Finding the Third Proportional to 131,121 and 198,663

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Solution

The third proportional to 131,121 and 198,663 is: 300,996.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,121 : 198,663 = 198,663 : x
  2. Step 2: Convert to fraction form
    131,121/198,663 = 198,663/x
  3. Step 3: Cross multiply
    131,121x = 198,663 × 198,663
  4. Step 4: Simplify right side
    131,121x = 39,466,987,569
  5. Step 5: Solve for x
    x = 39,466,987,569/131,121
  6. Step 6: Final answer
    x = 300,996.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.