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Finding the Third Proportional to 389,968 and 850,448

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Solution

The third proportional to 389,968 and 850,448 is: 1,854,669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,968 : 850,448 = 850,448 : x
  2. Step 2: Convert to fraction form
    389,968/850,448 = 850,448/x
  3. Step 3: Cross multiply
    389,968x = 850,448 × 850,448
  4. Step 4: Simplify right side
    389,968x = 723,261,800,704
  5. Step 5: Solve for x
    x = 723,261,800,704/389,968
  6. Step 6: Final answer
    x = 1,854,669.62

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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.