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Finding the Third Proportional to 388,921 and 844,234

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Solution

The third proportional to 388,921 and 844,234 is: 1,832,585.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,921 : 844,234 = 844,234 : x
  2. Step 2: Convert to fraction form
    388,921/844,234 = 844,234/x
  3. Step 3: Cross multiply
    388,921x = 844,234 × 844,234
  4. Step 4: Simplify right side
    388,921x = 712,731,046,756
  5. Step 5: Solve for x
    x = 712,731,046,756/388,921
  6. Step 6: Final answer
    x = 1,832,585.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.