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Finding the Third Proportional to 203,642 and 425,830

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Solution

The third proportional to 203,642 and 425,830 is: 890,441.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,642 : 425,830 = 425,830 : x
  2. Step 2: Convert to fraction form
    203,642/425,830 = 425,830/x
  3. Step 3: Cross multiply
    203,642x = 425,830 × 425,830
  4. Step 4: Simplify right side
    203,642x = 181,331,188,900
  5. Step 5: Solve for x
    x = 181,331,188,900/203,642
  6. Step 6: Final answer
    x = 890,441.01

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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.