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Finding the Third Proportional to 80,215 and 91,879

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Solution

The third proportional to 80,215 and 91,879 is: 105,239.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,215 : 91,879 = 91,879 : x
  2. Step 2: Convert to fraction form
    80,215/91,879 = 91,879/x
  3. Step 3: Cross multiply
    80,215x = 91,879 × 91,879
  4. Step 4: Simplify right side
    80,215x = 8,441,750,641
  5. Step 5: Solve for x
    x = 8,441,750,641/80,215
  6. Step 6: Final answer
    x = 105,239.05

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.