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Finding the Third Proportional to 90,824 and 197,995

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Solution

The third proportional to 90,824 and 197,995 is: 431,626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,824 : 197,995 = 197,995 : x
  2. Step 2: Convert to fraction form
    90,824/197,995 = 197,995/x
  3. Step 3: Cross multiply
    90,824x = 197,995 × 197,995
  4. Step 4: Simplify right side
    90,824x = 39,202,020,025
  5. Step 5: Solve for x
    x = 39,202,020,025/90,824
  6. Step 6: Final answer
    x = 431,626.22

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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.