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Finding the Third Proportional to 439,589 and 685,628

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Solution

The third proportional to 439,589 and 685,628 is: 1,069,375.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,589 : 685,628 = 685,628 : x
  2. Step 2: Convert to fraction form
    439,589/685,628 = 685,628/x
  3. Step 3: Cross multiply
    439,589x = 685,628 × 685,628
  4. Step 4: Simplify right side
    439,589x = 470,085,754,384
  5. Step 5: Solve for x
    x = 470,085,754,384/439,589
  6. Step 6: Final answer
    x = 1,069,375.61

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.