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Finding the Third Proportional to 394,058 and 624,081

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Solution

The third proportional to 394,058 and 624,081 is: 988,375.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,058 : 624,081 = 624,081 : x
  2. Step 2: Convert to fraction form
    394,058/624,081 = 624,081/x
  3. Step 3: Cross multiply
    394,058x = 624,081 × 624,081
  4. Step 4: Simplify right side
    394,058x = 389,477,094,561
  5. Step 5: Solve for x
    x = 389,477,094,561/394,058
  6. Step 6: Final answer
    x = 988,375.05

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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.