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Finding the Third Proportional to 451,078 and 981,558

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Solution

The third proportional to 451,078 and 981,558 is: 2,135,896.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,078 : 981,558 = 981,558 : x
  2. Step 2: Convert to fraction form
    451,078/981,558 = 981,558/x
  3. Step 3: Cross multiply
    451,078x = 981,558 × 981,558
  4. Step 4: Simplify right side
    451,078x = 963,456,107,364
  5. Step 5: Solve for x
    x = 963,456,107,364/451,078
  6. Step 6: Final answer
    x = 2,135,896.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.