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Finding the Third Proportional to 275,223.75 and 419,951.25

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Solution

The third proportional to 275,223.75 and 419,951.25 is: 640,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,223.75 : 419,951.25 = 419,951.25 : x
  2. Step 2: Convert to fraction form
    275,223.75/419,951.25 = 419,951.25/x
  3. Step 3: Cross multiply
    275,223.75x = 419,951.25 × 419,951.25
  4. Step 4: Simplify right side
    275,223.75x = 176,359,052,376.56
  5. Step 5: Solve for x
    x = 176,359,052,376.56/275,223.75
  6. Step 6: Final answer
    x = 640,784.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.