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Finding the Third Proportional to 66,869 and 103,874

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Solution

The third proportional to 66,869 and 103,874 is: 161,357.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,869 : 103,874 = 103,874 : x
  2. Step 2: Convert to fraction form
    66,869/103,874 = 103,874/x
  3. Step 3: Cross multiply
    66,869x = 103,874 × 103,874
  4. Step 4: Simplify right side
    66,869x = 10,789,807,876
  5. Step 5: Solve for x
    x = 10,789,807,876/66,869
  6. Step 6: Final answer
    x = 161,357.40

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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.