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Finding the Third Proportional to 203,504 and 425,584

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Solution

The third proportional to 203,504 and 425,584 is: 890,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,504 : 425,584 = 425,584 : x
  2. Step 2: Convert to fraction form
    203,504/425,584 = 425,584/x
  3. Step 3: Cross multiply
    203,504x = 425,584 × 425,584
  4. Step 4: Simplify right side
    203,504x = 181,121,741,056
  5. Step 5: Solve for x
    x = 181,121,741,056/203,504
  6. Step 6: Final answer
    x = 890,015.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.