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Finding the Third Proportional to 622,863 and 862,839

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Solution

The third proportional to 622,863 and 862,839 is: 1,195,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,863 : 862,839 = 862,839 : x
  2. Step 2: Convert to fraction form
    622,863/862,839 = 862,839/x
  3. Step 3: Cross multiply
    622,863x = 862,839 × 862,839
  4. Step 4: Simplify right side
    622,863x = 744,491,139,921
  5. Step 5: Solve for x
    x = 744,491,139,921/622,863
  6. Step 6: Final answer
    x = 1,195,272.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.