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Finding the Third Proportional to 321,624 and 685,961

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Solution

The third proportional to 321,624 and 685,961 is: 1,463,020.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,624 : 685,961 = 685,961 : x
  2. Step 2: Convert to fraction form
    321,624/685,961 = 685,961/x
  3. Step 3: Cross multiply
    321,624x = 685,961 × 685,961
  4. Step 4: Simplify right side
    321,624x = 470,542,493,521
  5. Step 5: Solve for x
    x = 470,542,493,521/321,624
  6. Step 6: Final answer
    x = 1,463,020.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.