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Finding the Third Proportional to 180,906 and 381,879

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Solution

The third proportional to 180,906 and 381,879 is: 806,117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,906 : 381,879 = 381,879 : x
  2. Step 2: Convert to fraction form
    180,906/381,879 = 381,879/x
  3. Step 3: Cross multiply
    180,906x = 381,879 × 381,879
  4. Step 4: Simplify right side
    180,906x = 145,831,570,641
  5. Step 5: Solve for x
    x = 145,831,570,641/180,906
  6. Step 6: Final answer
    x = 806,117.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.