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Finding the Third Proportional to 299,799 and 638,439

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Solution

The third proportional to 299,799 and 638,439 is: 1,359,592.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,799 : 638,439 = 638,439 : x
  2. Step 2: Convert to fraction form
    299,799/638,439 = 638,439/x
  3. Step 3: Cross multiply
    299,799x = 638,439 × 638,439
  4. Step 4: Simplify right side
    299,799x = 407,604,356,721
  5. Step 5: Solve for x
    x = 407,604,356,721/299,799
  6. Step 6: Final answer
    x = 1,359,592.12

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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.