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Finding the Third Proportional to 394,043 and 624,053

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Solution

The third proportional to 394,043 and 624,053 is: 988,323.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,043 : 624,053 = 624,053 : x
  2. Step 2: Convert to fraction form
    394,043/624,053 = 624,053/x
  3. Step 3: Cross multiply
    394,043x = 624,053 × 624,053
  4. Step 4: Simplify right side
    394,043x = 389,442,146,809
  5. Step 5: Solve for x
    x = 389,442,146,809/394,043
  6. Step 6: Final answer
    x = 988,323.98

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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.