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Finding the Third Proportional to 412,800.75 and 906,997.50

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Solution

The third proportional to 412,800.75 and 906,997.50 is: 1,992,836.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,800.75 : 906,997.50 = 906,997.50 : x
  2. Step 2: Convert to fraction form
    412,800.75/906,997.50 = 906,997.50/x
  3. Step 3: Cross multiply
    412,800.75x = 906,997.50 × 906,997.50
  4. Step 4: Simplify right side
    412,800.75x = 822,644,465,006.25
  5. Step 5: Solve for x
    x = 822,644,465,006.25/412,800.75
  6. Step 6: Final answer
    x = 1,992,836.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.