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Finding the Third Proportional to 91,409 and 203,824

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Solution

The third proportional to 91,409 and 203,824 is: 454,487.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,409 : 203,824 = 203,824 : x
  2. Step 2: Convert to fraction form
    91,409/203,824 = 203,824/x
  3. Step 3: Cross multiply
    91,409x = 203,824 × 203,824
  4. Step 4: Simplify right side
    91,409x = 41,544,222,976
  5. Step 5: Solve for x
    x = 41,544,222,976/91,409
  6. Step 6: Final answer
    x = 454,487.23

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.