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Finding the Third Proportional to 394,845 and 624,679

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Solution

The third proportional to 394,845 and 624,679 is: 988,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,845 : 624,679 = 624,679 : x
  2. Step 2: Convert to fraction form
    394,845/624,679 = 624,679/x
  3. Step 3: Cross multiply
    394,845x = 624,679 × 624,679
  4. Step 4: Simplify right side
    394,845x = 390,223,853,041
  5. Step 5: Solve for x
    x = 390,223,853,041/394,845
  6. Step 6: Final answer
    x = 988,296.30

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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.