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Finding the Third Proportional to 300,375 and 419,944

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Solution

The third proportional to 300,375 and 419,944 is: 587,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,375 : 419,944 = 419,944 : x
  2. Step 2: Convert to fraction form
    300,375/419,944 = 419,944/x
  3. Step 3: Cross multiply
    300,375x = 419,944 × 419,944
  4. Step 4: Simplify right side
    300,375x = 176,352,963,136
  5. Step 5: Solve for x
    x = 176,352,963,136/300,375
  6. Step 6: Final answer
    x = 587,109.32

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.