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Finding the Third Proportional to 389,744 and 850,018

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Solution

The third proportional to 389,744 and 850,018 is: 1,853,859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,744 : 850,018 = 850,018 : x
  2. Step 2: Convert to fraction form
    389,744/850,018 = 850,018/x
  3. Step 3: Cross multiply
    389,744x = 850,018 × 850,018
  4. Step 4: Simplify right side
    389,744x = 722,530,600,324
  5. Step 5: Solve for x
    x = 722,530,600,324/389,744
  6. Step 6: Final answer
    x = 1,853,859.46

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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.