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Finding the Third Proportional to 40,869 and 54,921.38

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Solution

The third proportional to 40,869 and 54,921.38 is: 73,805.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,869 : 54,921.38 = 54,921.38 : x
  2. Step 2: Convert to fraction form
    40,869/54,921.38 = 54,921.38/x
  3. Step 3: Cross multiply
    40,869x = 54,921.38 × 54,921.38
  4. Step 4: Simplify right side
    40,869x = 3,016,357,431.89
  5. Step 5: Solve for x
    x = 3,016,357,431.89/40,869
  6. Step 6: Final answer
    x = 73,805.51

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.