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Finding the Third Proportional to 299,769 and 644,007

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Solution

The third proportional to 299,769 and 644,007 is: 1,383,548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,769 : 644,007 = 644,007 : x
  2. Step 2: Convert to fraction form
    299,769/644,007 = 644,007/x
  3. Step 3: Cross multiply
    299,769x = 644,007 × 644,007
  4. Step 4: Simplify right side
    299,769x = 414,745,016,049
  5. Step 5: Solve for x
    x = 414,745,016,049/299,769
  6. Step 6: Final answer
    x = 1,383,548.72

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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.