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Finding the Third Proportional to 203,433 and 425,456

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Solution

The third proportional to 203,433 and 425,456 is: 889,790.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,433 : 425,456 = 425,456 : x
  2. Step 2: Convert to fraction form
    203,433/425,456 = 425,456/x
  3. Step 3: Cross multiply
    203,433x = 425,456 × 425,456
  4. Step 4: Simplify right side
    203,433x = 181,012,807,936
  5. Step 5: Solve for x
    x = 181,012,807,936/203,433
  6. Step 6: Final answer
    x = 889,790.78

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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.