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Finding the Third Proportional to 80,214 and 91,878

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Solution

The third proportional to 80,214 and 91,878 is: 105,238.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,214 : 91,878 = 91,878 : x
  2. Step 2: Convert to fraction form
    80,214/91,878 = 91,878/x
  3. Step 3: Cross multiply
    80,214x = 91,878 × 91,878
  4. Step 4: Simplify right side
    80,214x = 8,441,566,884
  5. Step 5: Solve for x
    x = 8,441,566,884/80,214
  6. Step 6: Final answer
    x = 105,238.07

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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.