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Finding the Third Proportional to 550,458 and 823,122

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Solution

The third proportional to 550,458 and 823,122 is: 1,230,847.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,458 : 823,122 = 823,122 : x
  2. Step 2: Convert to fraction form
    550,458/823,122 = 823,122/x
  3. Step 3: Cross multiply
    550,458x = 823,122 × 823,122
  4. Step 4: Simplify right side
    550,458x = 677,529,826,884
  5. Step 5: Solve for x
    x = 677,529,826,884/550,458
  6. Step 6: Final answer
    x = 1,230,847.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.