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Finding the Third Proportional to 180,722 and 395,908

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Solution

The third proportional to 180,722 and 395,908 is: 867,316.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,722 : 395,908 = 395,908 : x
  2. Step 2: Convert to fraction form
    180,722/395,908 = 395,908/x
  3. Step 3: Cross multiply
    180,722x = 395,908 × 395,908
  4. Step 4: Simplify right side
    180,722x = 156,743,144,464
  5. Step 5: Solve for x
    x = 156,743,144,464/180,722
  6. Step 6: Final answer
    x = 867,316.34

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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.