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Finding the Third Proportional to 90,837 and 198,021

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Solution

The third proportional to 90,837 and 198,021 is: 431,677.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,837 : 198,021 = 198,021 : x
  2. Step 2: Convert to fraction form
    90,837/198,021 = 198,021/x
  3. Step 3: Cross multiply
    90,837x = 198,021 × 198,021
  4. Step 4: Simplify right side
    90,837x = 39,212,316,441
  5. Step 5: Solve for x
    x = 39,212,316,441/90,837
  6. Step 6: Final answer
    x = 431,677.80

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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.