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Finding the Third Proportional to 380,589 and 818,586

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Solution

The third proportional to 380,589 and 818,586 is: 1,760,647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,589 : 818,586 = 818,586 : x
  2. Step 2: Convert to fraction form
    380,589/818,586 = 818,586/x
  3. Step 3: Cross multiply
    380,589x = 818,586 × 818,586
  4. Step 4: Simplify right side
    380,589x = 670,083,039,396
  5. Step 5: Solve for x
    x = 670,083,039,396/380,589
  6. Step 6: Final answer
    x = 1,760,647.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.