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Finding the Third Proportional to 135,138 and 289,954

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Solution

The third proportional to 135,138 and 289,954 is: 622,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,138 : 289,954 = 289,954 : x
  2. Step 2: Convert to fraction form
    135,138/289,954 = 289,954/x
  3. Step 3: Cross multiply
    135,138x = 289,954 × 289,954
  4. Step 4: Simplify right side
    135,138x = 84,073,322,116
  5. Step 5: Solve for x
    x = 84,073,322,116/135,138
  6. Step 6: Final answer
    x = 622,129.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.