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Finding the Third Proportional to 180,621 and 396,995

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Solution

The third proportional to 180,621 and 396,995 is: 872,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,621 : 396,995 = 396,995 : x
  2. Step 2: Convert to fraction form
    180,621/396,995 = 396,995/x
  3. Step 3: Cross multiply
    180,621x = 396,995 × 396,995
  4. Step 4: Simplify right side
    180,621x = 157,605,030,025
  5. Step 5: Solve for x
    x = 157,605,030,025/180,621
  6. Step 6: Final answer
    x = 872,573.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.