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Finding the Third Proportional to 203,471 and 425,530

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Solution

The third proportional to 203,471 and 425,530 is: 889,934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,471 : 425,530 = 425,530 : x
  2. Step 2: Convert to fraction form
    203,471/425,530 = 425,530/x
  3. Step 3: Cross multiply
    203,471x = 425,530 × 425,530
  4. Step 4: Simplify right side
    203,471x = 181,075,780,900
  5. Step 5: Solve for x
    x = 181,075,780,900/203,471
  6. Step 6: Final answer
    x = 889,934.10

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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.