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Finding the Third Proportional to 299,265 and 639,993

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Solution

The third proportional to 299,265 and 639,993 is: 1,368,656.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,265 : 639,993 = 639,993 : x
  2. Step 2: Convert to fraction form
    299,265/639,993 = 639,993/x
  3. Step 3: Cross multiply
    299,265x = 639,993 × 639,993
  4. Step 4: Simplify right side
    299,265x = 409,591,040,049
  5. Step 5: Solve for x
    x = 409,591,040,049/299,265
  6. Step 6: Final answer
    x = 1,368,656.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.