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Finding the Third Proportional to 389,954 and 850,420

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Solution

The third proportional to 389,954 and 850,420 is: 1,854,614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,954 : 850,420 = 850,420 : x
  2. Step 2: Convert to fraction form
    389,954/850,420 = 850,420/x
  3. Step 3: Cross multiply
    389,954x = 850,420 × 850,420
  4. Step 4: Simplify right side
    389,954x = 723,214,176,400
  5. Step 5: Solve for x
    x = 723,214,176,400/389,954
  6. Step 6: Final answer
    x = 1,854,614.07

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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.