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Finding the Third Proportional to 180,869 and 396,721

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Solution

The third proportional to 180,869 and 396,721 is: 870,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,869 : 396,721 = 396,721 : x
  2. Step 2: Convert to fraction form
    180,869/396,721 = 396,721/x
  3. Step 3: Cross multiply
    180,869x = 396,721 × 396,721
  4. Step 4: Simplify right side
    180,869x = 157,387,551,841
  5. Step 5: Solve for x
    x = 157,387,551,841/180,869
  6. Step 6: Final answer
    x = 870,174.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.