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Finding the Third Proportional to 299,814 and 638,469

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Solution

The third proportional to 299,814 and 638,469 is: 1,359,651.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,814 : 638,469 = 638,469 : x
  2. Step 2: Convert to fraction form
    299,814/638,469 = 638,469/x
  3. Step 3: Cross multiply
    299,814x = 638,469 × 638,469
  4. Step 4: Simplify right side
    299,814x = 407,642,663,961
  5. Step 5: Solve for x
    x = 407,642,663,961/299,814
  6. Step 6: Final answer
    x = 1,359,651.86

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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.