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Finding the Third Proportional to 180,867 and 396,717

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Solution

The third proportional to 180,867 and 396,717 is: 870,166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,867 : 396,717 = 396,717 : x
  2. Step 2: Convert to fraction form
    180,867/396,717 = 396,717/x
  3. Step 3: Cross multiply
    180,867x = 396,717 × 396,717
  4. Step 4: Simplify right side
    180,867x = 157,384,378,089
  5. Step 5: Solve for x
    x = 157,384,378,089/180,867
  6. Step 6: Final answer
    x = 870,166.35

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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.