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Finding the Third Proportional to 275,450 and 425,325

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Solution

The third proportional to 275,450 and 425,325 is: 656,748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,450 : 425,325 = 425,325 : x
  2. Step 2: Convert to fraction form
    275,450/425,325 = 425,325/x
  3. Step 3: Cross multiply
    275,450x = 425,325 × 425,325
  4. Step 4: Simplify right side
    275,450x = 180,901,355,625
  5. Step 5: Solve for x
    x = 180,901,355,625/275,450
  6. Step 6: Final answer
    x = 656,748.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.