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Finding the Third Proportional to 80,469 and 121,740.75

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Solution

The third proportional to 80,469 and 121,740.75 is: 184,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,469 : 121,740.75 = 121,740.75 : x
  2. Step 2: Convert to fraction form
    80,469/121,740.75 = 121,740.75/x
  3. Step 3: Cross multiply
    80,469x = 121,740.75 × 121,740.75
  4. Step 4: Simplify right side
    80,469x = 14,820,810,210.56
  5. Step 5: Solve for x
    x = 14,820,810,210.56/80,469
  6. Step 6: Final answer
    x = 184,180.37

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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.