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Finding the Third Proportional to 299,474 and 648,743

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Solution

The third proportional to 299,474 and 648,743 is: 1,405,355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,474 : 648,743 = 648,743 : x
  2. Step 2: Convert to fraction form
    299,474/648,743 = 648,743/x
  3. Step 3: Cross multiply
    299,474x = 648,743 × 648,743
  4. Step 4: Simplify right side
    299,474x = 420,867,480,049
  5. Step 5: Solve for x
    x = 420,867,480,049/299,474
  6. Step 6: Final answer
    x = 1,405,355.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.