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Finding the Third Proportional to 422,838 and 647,655

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Solution

The third proportional to 422,838 and 647,655 is: 992,004.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,838 : 647,655 = 647,655 : x
  2. Step 2: Convert to fraction form
    422,838/647,655 = 647,655/x
  3. Step 3: Cross multiply
    422,838x = 647,655 × 647,655
  4. Step 4: Simplify right side
    422,838x = 419,456,999,025
  5. Step 5: Solve for x
    x = 419,456,999,025/422,838
  6. Step 6: Final answer
    x = 992,004.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.