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Finding the Third Proportional to 389,912 and 850,288

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Solution

The third proportional to 389,912 and 850,288 is: 1,854,238.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,912 : 850,288 = 850,288 : x
  2. Step 2: Convert to fraction form
    389,912/850,288 = 850,288/x
  3. Step 3: Cross multiply
    389,912x = 850,288 × 850,288
  4. Step 4: Simplify right side
    389,912x = 722,989,682,944
  5. Step 5: Solve for x
    x = 722,989,682,944/389,912
  6. Step 6: Final answer
    x = 1,854,238.09

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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.