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Finding the Third Proportional to 179,686 and 381,278

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Solution

The third proportional to 179,686 and 381,278 is: 809,038.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,686 : 381,278 = 381,278 : x
  2. Step 2: Convert to fraction form
    179,686/381,278 = 381,278/x
  3. Step 3: Cross multiply
    179,686x = 381,278 × 381,278
  4. Step 4: Simplify right side
    179,686x = 145,372,913,284
  5. Step 5: Solve for x
    x = 145,372,913,284/179,686
  6. Step 6: Final answer
    x = 809,038.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.