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Finding the Third Proportional to 422,838 and 579,825

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Solution

The third proportional to 422,838 and 579,825 is: 795,096.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,838 : 579,825 = 579,825 : x
  2. Step 2: Convert to fraction form
    422,838/579,825 = 579,825/x
  3. Step 3: Cross multiply
    422,838x = 579,825 × 579,825
  4. Step 4: Simplify right side
    422,838x = 336,197,030,625
  5. Step 5: Solve for x
    x = 336,197,030,625/422,838
  6. Step 6: Final answer
    x = 795,096.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.