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Finding the Third Proportional to 275,529 and 425,583

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Solution

The third proportional to 275,529 and 425,583 is: 657,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,529 : 425,583 = 425,583 : x
  2. Step 2: Convert to fraction form
    275,529/425,583 = 425,583/x
  3. Step 3: Cross multiply
    275,529x = 425,583 × 425,583
  4. Step 4: Simplify right side
    275,529x = 181,120,889,889
  5. Step 5: Solve for x
    x = 181,120,889,889/275,529
  6. Step 6: Final answer
    x = 657,356.90

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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.