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Finding the Third Proportional to 399,228 and 862,425

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Solution

The third proportional to 399,228 and 862,425 is: 1,863,037.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,228 : 862,425 = 862,425 : x
  2. Step 2: Convert to fraction form
    399,228/862,425 = 862,425/x
  3. Step 3: Cross multiply
    399,228x = 862,425 × 862,425
  4. Step 4: Simplify right side
    399,228x = 743,776,880,625
  5. Step 5: Solve for x
    x = 743,776,880,625/399,228
  6. Step 6: Final answer
    x = 1,863,037.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.