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Finding the Third Proportional to 298,800 and 642,912

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Solution

The third proportional to 298,800 and 642,912 is: 1,383,319.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,800 : 642,912 = 642,912 : x
  2. Step 2: Convert to fraction form
    298,800/642,912 = 642,912/x
  3. Step 3: Cross multiply
    298,800x = 642,912 × 642,912
  4. Step 4: Simplify right side
    298,800x = 413,335,839,744
  5. Step 5: Solve for x
    x = 413,335,839,744/298,800
  6. Step 6: Final answer
    x = 1,383,319.41

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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.