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Finding the Third Proportional to 289,800 and 622,446

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Solution

The third proportional to 289,800 and 622,446 is: 1,336,918.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,800 : 622,446 = 622,446 : x
  2. Step 2: Convert to fraction form
    289,800/622,446 = 622,446/x
  3. Step 3: Cross multiply
    289,800x = 622,446 × 622,446
  4. Step 4: Simplify right side
    289,800x = 387,439,022,916
  5. Step 5: Solve for x
    x = 387,439,022,916/289,800
  6. Step 6: Final answer
    x = 1,336,918.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.