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Finding the Third Proportional to 321,625 and 685,963

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Solution

The third proportional to 321,625 and 685,963 is: 1,463,024.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,625 : 685,963 = 685,963 : x
  2. Step 2: Convert to fraction form
    321,625/685,963 = 685,963/x
  3. Step 3: Cross multiply
    321,625x = 685,963 × 685,963
  4. Step 4: Simplify right side
    321,625x = 470,545,237,369
  5. Step 5: Solve for x
    x = 470,545,237,369/321,625
  6. Step 6: Final answer
    x = 1,463,024.45

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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.