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Finding the Third Proportional to 80,451 and 105,794

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Solution

The third proportional to 80,451 and 105,794 is: 139,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,451 : 105,794 = 105,794 : x
  2. Step 2: Convert to fraction form
    80,451/105,794 = 105,794/x
  3. Step 3: Cross multiply
    80,451x = 105,794 × 105,794
  4. Step 4: Simplify right side
    80,451x = 11,192,370,436
  5. Step 5: Solve for x
    x = 11,192,370,436/80,451
  6. Step 6: Final answer
    x = 139,120.34

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.