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Finding the Third Proportional to 155,571.75 and 339,299.25

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Solution

The third proportional to 155,571.75 and 339,299.25 is: 740,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,571.75 : 339,299.25 = 339,299.25 : x
  2. Step 2: Convert to fraction form
    155,571.75/339,299.25 = 339,299.25/x
  3. Step 3: Cross multiply
    155,571.75x = 339,299.25 × 339,299.25
  4. Step 4: Simplify right side
    155,571.75x = 115,123,981,050.56
  5. Step 5: Solve for x
    x = 115,123,981,050.56/155,571.75
  6. Step 6: Final answer
    x = 740,005.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.