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Finding the Third Proportional to 40,869 and 54,812.25

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Solution

The third proportional to 40,869 and 54,812.25 is: 73,512.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,869 : 54,812.25 = 54,812.25 : x
  2. Step 2: Convert to fraction form
    40,869/54,812.25 = 54,812.25/x
  3. Step 3: Cross multiply
    40,869x = 54,812.25 × 54,812.25
  4. Step 4: Simplify right side
    40,869x = 3,004,382,750.06
  5. Step 5: Solve for x
    x = 3,004,382,750.06/40,869
  6. Step 6: Final answer
    x = 73,512.51

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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.