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Finding the Third Proportional to 299,793 and 638,427

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Solution

The third proportional to 299,793 and 638,427 is: 1,359,568.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,793 : 638,427 = 638,427 : x
  2. Step 2: Convert to fraction form
    299,793/638,427 = 638,427/x
  3. Step 3: Cross multiply
    299,793x = 638,427 × 638,427
  4. Step 4: Simplify right side
    299,793x = 407,589,034,329
  5. Step 5: Solve for x
    x = 407,589,034,329/299,793
  6. Step 6: Final answer
    x = 1,359,568.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.