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Finding the Third Proportional to 80,811 and 121,326.75

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Solution

The third proportional to 80,811 and 121,326.75 is: 182,155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,811 : 121,326.75 = 121,326.75 : x
  2. Step 2: Convert to fraction form
    80,811/121,326.75 = 121,326.75/x
  3. Step 3: Cross multiply
    80,811x = 121,326.75 × 121,326.75
  4. Step 4: Simplify right side
    80,811x = 14,720,180,265.56
  5. Step 5: Solve for x
    x = 14,720,180,265.56/80,811
  6. Step 6: Final answer
    x = 182,155.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.