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Finding the Third Proportional to 69,138.75 and 149,346.75

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Solution

The third proportional to 69,138.75 and 149,346.75 is: 322,604.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,138.75 : 149,346.75 = 149,346.75 : x
  2. Step 2: Convert to fraction form
    69,138.75/149,346.75 = 149,346.75/x
  3. Step 3: Cross multiply
    69,138.75x = 149,346.75 × 149,346.75
  4. Step 4: Simplify right side
    69,138.75x = 22,304,451,735.56
  5. Step 5: Solve for x
    x = 22,304,451,735.56/69,138.75
  6. Step 6: Final answer
    x = 322,604.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.