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Finding the Third Proportional to 320,562 and 685,593

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Solution

The third proportional to 320,562 and 685,593 is: 1,466,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,562 : 685,593 = 685,593 : x
  2. Step 2: Convert to fraction form
    320,562/685,593 = 685,593/x
  3. Step 3: Cross multiply
    320,562x = 685,593 × 685,593
  4. Step 4: Simplify right side
    320,562x = 470,037,761,649
  5. Step 5: Solve for x
    x = 470,037,761,649/320,562
  6. Step 6: Final answer
    x = 1,466,292.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.