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Finding the Third Proportional to 43,986 and 66,355

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Solution

The third proportional to 43,986 and 66,355 is: 100,099.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,986 : 66,355 = 66,355 : x
  2. Step 2: Convert to fraction form
    43,986/66,355 = 66,355/x
  3. Step 3: Cross multiply
    43,986x = 66,355 × 66,355
  4. Step 4: Simplify right side
    43,986x = 4,402,986,025
  5. Step 5: Solve for x
    x = 4,402,986,025/43,986
  6. Step 6: Final answer
    x = 100,099.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.