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Finding the Third Proportional to 101,842 and 223,268

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Solution

The third proportional to 101,842 and 223,268 is: 489,469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,842 : 223,268 = 223,268 : x
  2. Step 2: Convert to fraction form
    101,842/223,268 = 223,268/x
  3. Step 3: Cross multiply
    101,842x = 223,268 × 223,268
  4. Step 4: Simplify right side
    101,842x = 49,848,599,824
  5. Step 5: Solve for x
    x = 49,848,599,824/101,842
  6. Step 6: Final answer
    x = 489,469.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.