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Finding the Third Proportional to 422,825 and 579,805

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Solution

The third proportional to 422,825 and 579,805 is: 795,066.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,825 : 579,805 = 579,805 : x
  2. Step 2: Convert to fraction form
    422,825/579,805 = 579,805/x
  3. Step 3: Cross multiply
    422,825x = 579,805 × 579,805
  4. Step 4: Simplify right side
    422,825x = 336,173,838,025
  5. Step 5: Solve for x
    x = 336,173,838,025/422,825
  6. Step 6: Final answer
    x = 795,066.13

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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.