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Finding the Third Proportional to 180,813 and 378,150

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Solution

The third proportional to 180,813 and 378,150 is: 790,858.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,813 : 378,150 = 378,150 : x
  2. Step 2: Convert to fraction form
    180,813/378,150 = 378,150/x
  3. Step 3: Cross multiply
    180,813x = 378,150 × 378,150
  4. Step 4: Simplify right side
    180,813x = 142,997,422,500
  5. Step 5: Solve for x
    x = 142,997,422,500/180,813
  6. Step 6: Final answer
    x = 790,858.08

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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.