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Finding the Third Proportional to 180,950 and 395,425

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Solution

The third proportional to 180,950 and 395,425 is: 864,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,950 : 395,425 = 395,425 : x
  2. Step 2: Convert to fraction form
    180,950/395,425 = 395,425/x
  3. Step 3: Cross multiply
    180,950x = 395,425 × 395,425
  4. Step 4: Simplify right side
    180,950x = 156,360,930,625
  5. Step 5: Solve for x
    x = 156,360,930,625/180,950
  6. Step 6: Final answer
    x = 864,111.25

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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.