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Finding the Third Proportional to 441,846 and 685,728

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Solution

The third proportional to 441,846 and 685,728 is: 1,064,223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,846 : 685,728 = 685,728 : x
  2. Step 2: Convert to fraction form
    441,846/685,728 = 685,728/x
  3. Step 3: Cross multiply
    441,846x = 685,728 × 685,728
  4. Step 4: Simplify right side
    441,846x = 470,222,889,984
  5. Step 5: Solve for x
    x = 470,222,889,984/441,846
  6. Step 6: Final answer
    x = 1,064,223.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.