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Finding the Third Proportional to 69,804 and 150,408

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Solution

The third proportional to 69,804 and 150,408 is: 324,086.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,804 : 150,408 = 150,408 : x
  2. Step 2: Convert to fraction form
    69,804/150,408 = 150,408/x
  3. Step 3: Cross multiply
    69,804x = 150,408 × 150,408
  4. Step 4: Simplify right side
    69,804x = 22,622,566,464
  5. Step 5: Solve for x
    x = 22,622,566,464/69,804
  6. Step 6: Final answer
    x = 324,086.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.