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Finding the Third Proportional to 399,728 and 851,244

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Solution

The third proportional to 399,728 and 851,244 is: 1,812,773.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,728 : 851,244 = 851,244 : x
  2. Step 2: Convert to fraction form
    399,728/851,244 = 851,244/x
  3. Step 3: Cross multiply
    399,728x = 851,244 × 851,244
  4. Step 4: Simplify right side
    399,728x = 724,616,347,536
  5. Step 5: Solve for x
    x = 724,616,347,536/399,728
  6. Step 6: Final answer
    x = 1,812,773.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.