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Finding the Third Proportional to 685,907 and 978,415

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Solution

The third proportional to 685,907 and 978,415 is: 1,395,664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,907 : 978,415 = 978,415 : x
  2. Step 2: Convert to fraction form
    685,907/978,415 = 978,415/x
  3. Step 3: Cross multiply
    685,907x = 978,415 × 978,415
  4. Step 4: Simplify right side
    685,907x = 957,295,912,225
  5. Step 5: Solve for x
    x = 957,295,912,225/685,907
  6. Step 6: Final answer
    x = 1,395,664.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.