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Finding the Third Proportional to 90,825 and 197,997

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Solution

The third proportional to 90,825 and 197,997 is: 431,630.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,825 : 197,997 = 197,997 : x
  2. Step 2: Convert to fraction form
    90,825/197,997 = 197,997/x
  3. Step 3: Cross multiply
    90,825x = 197,997 × 197,997
  4. Step 4: Simplify right side
    90,825x = 39,202,812,009
  5. Step 5: Solve for x
    x = 39,202,812,009/90,825
  6. Step 6: Final answer
    x = 431,630.19

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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.