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Finding the Third Proportional to 80,919 and 122,107.50

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Solution

The third proportional to 80,919 and 122,107.50 is: 184,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,919 : 122,107.50 = 122,107.50 : x
  2. Step 2: Convert to fraction form
    80,919/122,107.50 = 122,107.50/x
  3. Step 3: Cross multiply
    80,919x = 122,107.50 × 122,107.50
  4. Step 4: Simplify right side
    80,919x = 14,910,241,556.25
  5. Step 5: Solve for x
    x = 14,910,241,556.25/80,919
  6. Step 6: Final answer
    x = 184,261.32

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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.