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Finding the Third Proportional to 100,406 and 150,621

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Solution

The third proportional to 100,406 and 150,621 is: 225,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,406 : 150,621 = 150,621 : x
  2. Step 2: Convert to fraction form
    100,406/150,621 = 150,621/x
  3. Step 3: Cross multiply
    100,406x = 150,621 × 150,621
  4. Step 4: Simplify right side
    100,406x = 22,686,685,641
  5. Step 5: Solve for x
    x = 22,686,685,641/100,406
  6. Step 6: Final answer
    x = 225,949.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.