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Finding the Third Proportional to 394,039.50 and 624,047.25

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Solution

The third proportional to 394,039.50 and 624,047.25 is: 988,314.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,039.50 : 624,047.25 = 624,047.25 : x
  2. Step 2: Convert to fraction form
    394,039.50/624,047.25 = 624,047.25/x
  3. Step 3: Cross multiply
    394,039.50x = 624,047.25 × 624,047.25
  4. Step 4: Simplify right side
    394,039.50x = 389,434,970,232.56
  5. Step 5: Solve for x
    x = 389,434,970,232.56/394,039.50
  6. Step 6: Final answer
    x = 988,314.55

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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.