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Finding the Third Proportional to 150,621 and 324,561

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Solution

The third proportional to 150,621 and 324,561 is: 699,370.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,621 : 324,561 = 324,561 : x
  2. Step 2: Convert to fraction form
    150,621/324,561 = 324,561/x
  3. Step 3: Cross multiply
    150,621x = 324,561 × 324,561
  4. Step 4: Simplify right side
    150,621x = 105,339,842,721
  5. Step 5: Solve for x
    x = 105,339,842,721/150,621
  6. Step 6: Final answer
    x = 699,370.23

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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.