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Finding the Third Proportional to 275,252 and 425,405

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Solution

The third proportional to 275,252 and 425,405 is: 657,468.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,252 : 425,405 = 425,405 : x
  2. Step 2: Convert to fraction form
    275,252/425,405 = 425,405/x
  3. Step 3: Cross multiply
    275,252x = 425,405 × 425,405
  4. Step 4: Simplify right side
    275,252x = 180,969,414,025
  5. Step 5: Solve for x
    x = 180,969,414,025/275,252
  6. Step 6: Final answer
    x = 657,468.12

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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.