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Finding the Third Proportional to 275,589 and 425,867.63

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Solution

The third proportional to 275,589 and 425,867.63 is: 658,093.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,589 : 425,867.63 = 425,867.63 : x
  2. Step 2: Convert to fraction form
    275,589/425,867.63 = 425,867.63/x
  3. Step 3: Cross multiply
    275,589x = 425,867.63 × 425,867.63
  4. Step 4: Simplify right side
    275,589x = 181,363,234,023.14
  5. Step 5: Solve for x
    x = 181,363,234,023.14/275,589
  6. Step 6: Final answer
    x = 658,093.15

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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.