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Finding the Third Proportional to 299,649 and 643,767

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Solution

The third proportional to 299,649 and 643,767 is: 1,383,071.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,649 : 643,767 = 643,767 : x
  2. Step 2: Convert to fraction form
    299,649/643,767 = 643,767/x
  3. Step 3: Cross multiply
    299,649x = 643,767 × 643,767
  4. Step 4: Simplify right side
    299,649x = 414,435,950,289
  5. Step 5: Solve for x
    x = 414,435,950,289/299,649
  6. Step 6: Final answer
    x = 1,383,071.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.