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Finding the Third Proportional to 203,431 and 425,452

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Solution

The third proportional to 203,431 and 425,452 is: 889,782.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,431 : 425,452 = 425,452 : x
  2. Step 2: Convert to fraction form
    203,431/425,452 = 425,452/x
  3. Step 3: Cross multiply
    203,431x = 425,452 × 425,452
  4. Step 4: Simplify right side
    203,431x = 181,009,404,304
  5. Step 5: Solve for x
    x = 181,009,404,304/203,431
  6. Step 6: Final answer
    x = 889,782.80

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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.