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Finding the Third Proportional to 80,867.25 and 122,433.75

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Solution

The third proportional to 80,867.25 and 122,433.75 is: 185,365.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,867.25 : 122,433.75 = 122,433.75 : x
  2. Step 2: Convert to fraction form
    80,867.25/122,433.75 = 122,433.75/x
  3. Step 3: Cross multiply
    80,867.25x = 122,433.75 × 122,433.75
  4. Step 4: Simplify right side
    80,867.25x = 14,990,023,139.06
  5. Step 5: Solve for x
    x = 14,990,023,139.06/80,867.25
  6. Step 6: Final answer
    x = 185,365.81

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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.