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Finding the Third Proportional to 666,831 and 1,380,318

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Solution

The third proportional to 666,831 and 1,380,318 is: 2,857,212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,831 : 1,380,318 = 1,380,318 : x
  2. Step 2: Convert to fraction form
    666,831/1,380,318 = 1,380,318/x
  3. Step 3: Cross multiply
    666,831x = 1,380,318 × 1,380,318
  4. Step 4: Simplify right side
    666,831x = 1,905,277,781,124
  5. Step 5: Solve for x
    x = 1,905,277,781,124/666,831
  6. Step 6: Final answer
    x = 2,857,212.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.