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Finding the Third Proportional to 43,986 and 68,079

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Solution

The third proportional to 43,986 and 68,079 is: 105,368.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,986 : 68,079 = 68,079 : x
  2. Step 2: Convert to fraction form
    43,986/68,079 = 68,079/x
  3. Step 3: Cross multiply
    43,986x = 68,079 × 68,079
  4. Step 4: Simplify right side
    43,986x = 4,634,750,241
  5. Step 5: Solve for x
    x = 4,634,750,241/43,986
  6. Step 6: Final answer
    x = 105,368.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.