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Finding the Third Proportional to 69,878 and 150,821

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Solution

The third proportional to 69,878 and 150,821 is: 325,524.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,878 : 150,821 = 150,821 : x
  2. Step 2: Convert to fraction form
    69,878/150,821 = 150,821/x
  3. Step 3: Cross multiply
    69,878x = 150,821 × 150,821
  4. Step 4: Simplify right side
    69,878x = 22,746,974,041
  5. Step 5: Solve for x
    x = 22,746,974,041/69,878
  6. Step 6: Final answer
    x = 325,524.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.