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Finding the Third Proportional to 90,992 and 197,520

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Solution

The third proportional to 90,992 and 197,520 is: 428,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,992 : 197,520 = 197,520 : x
  2. Step 2: Convert to fraction form
    90,992/197,520 = 197,520/x
  3. Step 3: Cross multiply
    90,992x = 197,520 × 197,520
  4. Step 4: Simplify right side
    90,992x = 39,014,150,400
  5. Step 5: Solve for x
    x = 39,014,150,400/90,992
  6. Step 6: Final answer
    x = 428,764.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.