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Finding the Third Proportional to 80,928 and 121,392.75

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Solution

The third proportional to 80,928 and 121,392.75 is: 182,090.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,928 : 121,392.75 = 121,392.75 : x
  2. Step 2: Convert to fraction form
    80,928/121,392.75 = 121,392.75/x
  3. Step 3: Cross multiply
    80,928x = 121,392.75 × 121,392.75
  4. Step 4: Simplify right side
    80,928x = 14,736,199,752.56
  5. Step 5: Solve for x
    x = 14,736,199,752.56/80,928
  6. Step 6: Final answer
    x = 182,090.25

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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.