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Finding the Third Proportional to 150,504 and 321,760

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Solution

The third proportional to 150,504 and 321,760 is: 687,885.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,504 : 321,760 = 321,760 : x
  2. Step 2: Convert to fraction form
    150,504/321,760 = 321,760/x
  3. Step 3: Cross multiply
    150,504x = 321,760 × 321,760
  4. Step 4: Simplify right side
    150,504x = 103,529,497,600
  5. Step 5: Solve for x
    x = 103,529,497,600/150,504
  6. Step 6: Final answer
    x = 687,885.36

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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.