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Finding the Third Proportional to 169,638.38 and 339,258.75

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Solution

The third proportional to 169,638.38 and 339,258.75 is: 678,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,638.38 : 339,258.75 = 339,258.75 : x
  2. Step 2: Convert to fraction form
    169,638.38/339,258.75 = 339,258.75/x
  3. Step 3: Cross multiply
    169,638.38x = 339,258.75 × 339,258.75
  4. Step 4: Simplify right side
    169,638.38x = 115,096,499,451.56
  5. Step 5: Solve for x
    x = 115,096,499,451.56/169,638.38
  6. Step 6: Final answer
    x = 678,481.50

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.