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Finding the Third Proportional to 90,824 and 197,996

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Solution

The third proportional to 90,824 and 197,996 is: 431,630.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,824 : 197,996 = 197,996 : x
  2. Step 2: Convert to fraction form
    90,824/197,996 = 197,996/x
  3. Step 3: Cross multiply
    90,824x = 197,996 × 197,996
  4. Step 4: Simplify right side
    90,824x = 39,202,416,016
  5. Step 5: Solve for x
    x = 39,202,416,016/90,824
  6. Step 6: Final answer
    x = 431,630.58

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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.