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Finding the Third Proportional to 100,019 and 154,821

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Solution

The third proportional to 100,019 and 154,821 is: 239,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,019 : 154,821 = 154,821 : x
  2. Step 2: Convert to fraction form
    100,019/154,821 = 154,821/x
  3. Step 3: Cross multiply
    100,019x = 154,821 × 154,821
  4. Step 4: Simplify right side
    100,019x = 23,969,542,041
  5. Step 5: Solve for x
    x = 23,969,542,041/100,019
  6. Step 6: Final answer
    x = 239,649.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.