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Finding the Third Proportional to 180,975 and 378,462

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Solution

The third proportional to 180,975 and 378,462 is: 791,454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,975 : 378,462 = 378,462 : x
  2. Step 2: Convert to fraction form
    180,975/378,462 = 378,462/x
  3. Step 3: Cross multiply
    180,975x = 378,462 × 378,462
  4. Step 4: Simplify right side
    180,975x = 143,233,485,444
  5. Step 5: Solve for x
    x = 143,233,485,444/180,975
  6. Step 6: Final answer
    x = 791,454.54

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.