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Finding the Third Proportional to 299,907 and 450,729

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Solution

The third proportional to 299,907 and 450,729 is: 677,398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,907 : 450,729 = 450,729 : x
  2. Step 2: Convert to fraction form
    299,907/450,729 = 450,729/x
  3. Step 3: Cross multiply
    299,907x = 450,729 × 450,729
  4. Step 4: Simplify right side
    299,907x = 203,156,631,441
  5. Step 5: Solve for x
    x = 203,156,631,441/299,907
  6. Step 6: Final answer
    x = 677,398.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.