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Finding the Third Proportional to 394,053 and 624,068

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Solution

The third proportional to 394,053 and 624,068 is: 988,346.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,053 : 624,068 = 624,068 : x
  2. Step 2: Convert to fraction form
    394,053/624,068 = 624,068/x
  3. Step 3: Cross multiply
    394,053x = 624,068 × 624,068
  4. Step 4: Simplify right side
    394,053x = 389,460,868,624
  5. Step 5: Solve for x
    x = 389,460,868,624/394,053
  6. Step 6: Final answer
    x = 988,346.41

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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.