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Finding the Third Proportional to 150,296 and 321,920

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Solution

The third proportional to 150,296 and 321,920 is: 689,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,296 : 321,920 = 321,920 : x
  2. Step 2: Convert to fraction form
    150,296/321,920 = 321,920/x
  3. Step 3: Cross multiply
    150,296x = 321,920 × 321,920
  4. Step 4: Simplify right side
    150,296x = 103,632,486,400
  5. Step 5: Solve for x
    x = 103,632,486,400/150,296
  6. Step 6: Final answer
    x = 689,522.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.