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Finding the Third Proportional to 90,704 and 198,912

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Solution

The third proportional to 90,704 and 198,912 is: 436,209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,704 : 198,912 = 198,912 : x
  2. Step 2: Convert to fraction form
    90,704/198,912 = 198,912/x
  3. Step 3: Cross multiply
    90,704x = 198,912 × 198,912
  4. Step 4: Simplify right side
    90,704x = 39,565,983,744
  5. Step 5: Solve for x
    x = 39,565,983,744/90,704
  6. Step 6: Final answer
    x = 436,209.91

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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.