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Finding the Third Proportional to 139,269.91 and 305,238.75

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Solution

The third proportional to 139,269.91 and 305,238.75 is: 668,993.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,269.91 : 305,238.75 = 305,238.75 : x
  2. Step 2: Convert to fraction form
    139,269.91/305,238.75 = 305,238.75/x
  3. Step 3: Cross multiply
    139,269.91x = 305,238.75 × 305,238.75
  4. Step 4: Simplify right side
    139,269.91x = 93,170,694,501.56
  5. Step 5: Solve for x
    x = 93,170,694,501.56/139,269.91
  6. Step 6: Final answer
    x = 668,993.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.