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Finding the Third Proportional to 140,233.50 and 300,138.75

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Solution

The third proportional to 140,233.50 and 300,138.75 is: 642,380.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,233.50 : 300,138.75 = 300,138.75 : x
  2. Step 2: Convert to fraction form
    140,233.50/300,138.75 = 300,138.75/x
  3. Step 3: Cross multiply
    140,233.50x = 300,138.75 × 300,138.75
  4. Step 4: Simplify right side
    140,233.50x = 90,083,269,251.56
  5. Step 5: Solve for x
    x = 90,083,269,251.56/140,233.50
  6. Step 6: Final answer
    x = 642,380.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.