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Finding the Third Proportional to 80,987.34 and 122,540.34

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Solution

The third proportional to 80,987.34 and 122,540.34 is: 185,413.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,987.34 : 122,540.34 = 122,540.34 : x
  2. Step 2: Convert to fraction form
    80,987.34/122,540.34 = 122,540.34/x
  3. Step 3: Cross multiply
    80,987.34x = 122,540.34 × 122,540.34
  4. Step 4: Simplify right side
    80,987.34x = 15,016,135,846.37
  5. Step 5: Solve for x
    x = 15,016,135,846.37/80,987.34
  6. Step 6: Final answer
    x = 185,413.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.