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Finding the Third Proportional to 180,866 and 378,256

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Solution

The third proportional to 180,866 and 378,256 is: 791,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,866 : 378,256 = 378,256 : x
  2. Step 2: Convert to fraction form
    180,866/378,256 = 378,256/x
  3. Step 3: Cross multiply
    180,866x = 378,256 × 378,256
  4. Step 4: Simplify right side
    180,866x = 143,077,601,536
  5. Step 5: Solve for x
    x = 143,077,601,536/180,866
  6. Step 6: Final answer
    x = 791,069.64

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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.