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Finding the Third Proportional to 203,842 and 479,629

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Solution

The third proportional to 203,842 and 479,629 is: 1,128,540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,842 : 479,629 = 479,629 : x
  2. Step 2: Convert to fraction form
    203,842/479,629 = 479,629/x
  3. Step 3: Cross multiply
    203,842x = 479,629 × 479,629
  4. Step 4: Simplify right side
    203,842x = 230,043,977,641
  5. Step 5: Solve for x
    x = 230,043,977,641/203,842
  6. Step 6: Final answer
    x = 1,128,540.62

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.