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Finding the Third Proportional to 150,639 and 324,603

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Solution

The third proportional to 150,639 and 324,603 is: 699,467.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,639 : 324,603 = 324,603 : x
  2. Step 2: Convert to fraction form
    150,639/324,603 = 324,603/x
  3. Step 3: Cross multiply
    150,639x = 324,603 × 324,603
  4. Step 4: Simplify right side
    150,639x = 105,367,107,609
  5. Step 5: Solve for x
    x = 105,367,107,609/150,639
  6. Step 6: Final answer
    x = 699,467.65

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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.