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Finding the Third Proportional to 90,678 and 198,864

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Solution

The third proportional to 90,678 and 198,864 is: 436,124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,678 : 198,864 = 198,864 : x
  2. Step 2: Convert to fraction form
    90,678/198,864 = 198,864/x
  3. Step 3: Cross multiply
    90,678x = 198,864 × 198,864
  4. Step 4: Simplify right side
    90,678x = 39,546,890,496
  5. Step 5: Solve for x
    x = 39,546,890,496/90,678
  6. Step 6: Final answer
    x = 436,124.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.