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Finding the Third Proportional to 90,834 and 198,015

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Solution

The third proportional to 90,834 and 198,015 is: 431,665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,834 : 198,015 = 198,015 : x
  2. Step 2: Convert to fraction form
    90,834/198,015 = 198,015/x
  3. Step 3: Cross multiply
    90,834x = 198,015 × 198,015
  4. Step 4: Simplify right side
    90,834x = 39,209,940,225
  5. Step 5: Solve for x
    x = 39,209,940,225/90,834
  6. Step 6: Final answer
    x = 431,665.90

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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.