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Finding the Third Proportional to 40,869 and 75,906

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Solution

The third proportional to 40,869 and 75,906 is: 140,980.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,869 : 75,906 = 75,906 : x
  2. Step 2: Convert to fraction form
    40,869/75,906 = 75,906/x
  3. Step 3: Cross multiply
    40,869x = 75,906 × 75,906
  4. Step 4: Simplify right side
    40,869x = 5,761,720,836
  5. Step 5: Solve for x
    x = 5,761,720,836/40,869
  6. Step 6: Final answer
    x = 140,980.23

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.