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Finding the Third Proportional to 90,794 and 198,813

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Solution

The third proportional to 90,794 and 198,813 is: 435,343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,794 : 198,813 = 198,813 : x
  2. Step 2: Convert to fraction form
    90,794/198,813 = 198,813/x
  3. Step 3: Cross multiply
    90,794x = 198,813 × 198,813
  4. Step 4: Simplify right side
    90,794x = 39,526,608,969
  5. Step 5: Solve for x
    x = 39,526,608,969/90,794
  6. Step 6: Final answer
    x = 435,343.84

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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.