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Finding the Third Proportional to 412,809 and 581,325

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Solution

The third proportional to 412,809 and 581,325 is: 818,632.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,809 : 581,325 = 581,325 : x
  2. Step 2: Convert to fraction form
    412,809/581,325 = 581,325/x
  3. Step 3: Cross multiply
    412,809x = 581,325 × 581,325
  4. Step 4: Simplify right side
    412,809x = 337,938,755,625
  5. Step 5: Solve for x
    x = 337,938,755,625/412,809
  6. Step 6: Final answer
    x = 818,632.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.