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Finding the Third Proportional to 150,400.50 and 321,096.75

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Solution

The third proportional to 150,400.50 and 321,096.75 is: 685,523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,400.50 : 321,096.75 = 321,096.75 : x
  2. Step 2: Convert to fraction form
    150,400.50/321,096.75 = 321,096.75/x
  3. Step 3: Cross multiply
    150,400.50x = 321,096.75 × 321,096.75
  4. Step 4: Simplify right side
    150,400.50x = 103,103,122,860.56
  5. Step 5: Solve for x
    x = 103,103,122,860.56/150,400.50
  6. Step 6: Final answer
    x = 685,523.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.