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Finding the Third Proportional to 646,664.25 and 978,942.75

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Solution

The third proportional to 646,664.25 and 978,942.75 is: 1,481,957.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,664.25 : 978,942.75 = 978,942.75 : x
  2. Step 2: Convert to fraction form
    646,664.25/978,942.75 = 978,942.75/x
  3. Step 3: Cross multiply
    646,664.25x = 978,942.75 × 978,942.75
  4. Step 4: Simplify right side
    646,664.25x = 958,328,907,777.56
  5. Step 5: Solve for x
    x = 958,328,907,777.56/646,664.25
  6. Step 6: Final answer
    x = 1,481,957.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.