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Finding the Third Proportional to 180,906 and 393,990

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Solution

The third proportional to 180,906 and 393,990 is: 858,059.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,906 : 393,990 = 393,990 : x
  2. Step 2: Convert to fraction form
    180,906/393,990 = 393,990/x
  3. Step 3: Cross multiply
    180,906x = 393,990 × 393,990
  4. Step 4: Simplify right side
    180,906x = 155,228,120,100
  5. Step 5: Solve for x
    x = 155,228,120,100/180,906
  6. Step 6: Final answer
    x = 858,059.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.