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Finding the Third Proportional to 275,220.75 and 419,946.75

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Solution

The third proportional to 275,220.75 and 419,946.75 is: 640,777.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,220.75 : 419,946.75 = 419,946.75 : x
  2. Step 2: Convert to fraction form
    275,220.75/419,946.75 = 419,946.75/x
  3. Step 3: Cross multiply
    275,220.75x = 419,946.75 × 419,946.75
  4. Step 4: Simplify right side
    275,220.75x = 176,355,272,835.56
  5. Step 5: Solve for x
    x = 176,355,272,835.56/275,220.75
  6. Step 6: Final answer
    x = 640,777.53

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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.