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Finding the Third Proportional to 394,065 and 624,084.75

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Solution

The third proportional to 394,065 and 624,084.75 is: 988,369.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,065 : 624,084.75 = 624,084.75 : x
  2. Step 2: Convert to fraction form
    394,065/624,084.75 = 624,084.75/x
  3. Step 3: Cross multiply
    394,065x = 624,084.75 × 624,084.75
  4. Step 4: Simplify right side
    394,065x = 389,481,775,182.56
  5. Step 5: Solve for x
    x = 389,481,775,182.56/394,065
  6. Step 6: Final answer
    x = 988,369.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.