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Finding the Third Proportional to 394,088 and 624,120

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Solution

The third proportional to 394,088 and 624,120 is: 988,423.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,088 : 624,120 = 624,120 : x
  2. Step 2: Convert to fraction form
    394,088/624,120 = 624,120/x
  3. Step 3: Cross multiply
    394,088x = 624,120 × 624,120
  4. Step 4: Simplify right side
    394,088x = 389,525,774,400
  5. Step 5: Solve for x
    x = 389,525,774,400/394,088
  6. Step 6: Final answer
    x = 988,423.33

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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.