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Finding the Third Proportional to 90,936 and 198,384

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Solution

The third proportional to 90,936 and 198,384 is: 432,790.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,936 : 198,384 = 198,384 : x
  2. Step 2: Convert to fraction form
    90,936/198,384 = 198,384/x
  3. Step 3: Cross multiply
    90,936x = 198,384 × 198,384
  4. Step 4: Simplify right side
    90,936x = 39,356,211,456
  5. Step 5: Solve for x
    x = 39,356,211,456/90,936
  6. Step 6: Final answer
    x = 432,790.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.