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Finding the Third Proportional to 301,215 and 451,836

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Solution

The third proportional to 301,215 and 451,836 is: 677,774.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,215 : 451,836 = 451,836 : x
  2. Step 2: Convert to fraction form
    301,215/451,836 = 451,836/x
  3. Step 3: Cross multiply
    301,215x = 451,836 × 451,836
  4. Step 4: Simplify right side
    301,215x = 204,155,770,896
  5. Step 5: Solve for x
    x = 204,155,770,896/301,215
  6. Step 6: Final answer
    x = 677,774.25

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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.