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Finding the Third Proportional to 80,474 and 121,745

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Solution

The third proportional to 80,474 and 121,745 is: 184,181.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,474 : 121,745 = 121,745 : x
  2. Step 2: Convert to fraction form
    80,474/121,745 = 121,745/x
  3. Step 3: Cross multiply
    80,474x = 121,745 × 121,745
  4. Step 4: Simplify right side
    80,474x = 14,821,845,025
  5. Step 5: Solve for x
    x = 14,821,845,025/80,474
  6. Step 6: Final answer
    x = 184,181.79

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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.