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Finding the Third Proportional to 135,855 and 298,629

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Solution

The third proportional to 135,855 and 298,629 is: 656,429.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,855 : 298,629 = 298,629 : x
  2. Step 2: Convert to fraction form
    135,855/298,629 = 298,629/x
  3. Step 3: Cross multiply
    135,855x = 298,629 × 298,629
  4. Step 4: Simplify right side
    135,855x = 89,179,279,641
  5. Step 5: Solve for x
    x = 89,179,279,641/135,855
  6. Step 6: Final answer
    x = 656,429.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.