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Finding the Third Proportional to 299,864 and 644,190

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Solution

The third proportional to 299,864 and 644,190 is: 1,383,896.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,864 : 644,190 = 644,190 : x
  2. Step 2: Convert to fraction form
    299,864/644,190 = 644,190/x
  3. Step 3: Cross multiply
    299,864x = 644,190 × 644,190
  4. Step 4: Simplify right side
    299,864x = 414,980,756,100
  5. Step 5: Solve for x
    x = 414,980,756,100/299,864
  6. Step 6: Final answer
    x = 1,383,896.55

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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.