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Finding the Third Proportional to 275,025 and 425,489

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Solution

The third proportional to 275,025 and 425,489 is: 658,270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,025 : 425,489 = 425,489 : x
  2. Step 2: Convert to fraction form
    275,025/425,489 = 425,489/x
  3. Step 3: Cross multiply
    275,025x = 425,489 × 425,489
  4. Step 4: Simplify right side
    275,025x = 181,040,889,121
  5. Step 5: Solve for x
    x = 181,040,889,121/275,025
  6. Step 6: Final answer
    x = 658,270.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.