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Finding the Third Proportional to 299,450 and 450,390

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Solution

The third proportional to 299,450 and 450,390 is: 677,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,450 : 450,390 = 450,390 : x
  2. Step 2: Convert to fraction form
    299,450/450,390 = 450,390/x
  3. Step 3: Cross multiply
    299,450x = 450,390 × 450,390
  4. Step 4: Simplify right side
    299,450x = 202,851,152,100
  5. Step 5: Solve for x
    x = 202,851,152,100/299,450
  6. Step 6: Final answer
    x = 677,412.43

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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.