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Finding the Third Proportional to 307,936 and 685,824

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Solution

The third proportional to 307,936 and 685,824 is: 1,527,442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,936 : 685,824 = 685,824 : x
  2. Step 2: Convert to fraction form
    307,936/685,824 = 685,824/x
  3. Step 3: Cross multiply
    307,936x = 685,824 × 685,824
  4. Step 4: Simplify right side
    307,936x = 470,354,558,976
  5. Step 5: Solve for x
    x = 470,354,558,976/307,936
  6. Step 6: Final answer
    x = 1,527,442.58

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.