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Finding the Third Proportional to 80,721.75 and 110,809.13

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Solution

The third proportional to 80,721.75 and 110,809.13 is: 152,110.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,721.75 : 110,809.13 = 110,809.13 : x
  2. Step 2: Convert to fraction form
    80,721.75/110,809.13 = 110,809.13/x
  3. Step 3: Cross multiply
    80,721.75x = 110,809.13 × 110,809.13
  4. Step 4: Simplify right side
    80,721.75x = 12,278,662,183.27
  5. Step 5: Solve for x
    x = 12,278,662,183.27/80,721.75
  6. Step 6: Final answer
    x = 152,110.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.