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Finding the Third Proportional to 394,090 and 624,123

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Solution

The third proportional to 394,090 and 624,123 is: 988,427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,090 : 624,123 = 624,123 : x
  2. Step 2: Convert to fraction form
    394,090/624,123 = 624,123/x
  3. Step 3: Cross multiply
    394,090x = 624,123 × 624,123
  4. Step 4: Simplify right side
    394,090x = 389,529,519,129
  5. Step 5: Solve for x
    x = 389,529,519,129/394,090
  6. Step 6: Final answer
    x = 988,427.82

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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.