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Finding the Third Proportional to 325,828 and 455,189

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Solution

The third proportional to 325,828 and 455,189 is: 635,909.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,828 : 455,189 = 455,189 : x
  2. Step 2: Convert to fraction form
    325,828/455,189 = 455,189/x
  3. Step 3: Cross multiply
    325,828x = 455,189 × 455,189
  4. Step 4: Simplify right side
    325,828x = 207,197,025,721
  5. Step 5: Solve for x
    x = 207,197,025,721/325,828
  6. Step 6: Final answer
    x = 635,909.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.