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Finding the Third Proportional to 321,832 and 450,155

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Solution

The third proportional to 321,832 and 450,155 is: 629,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,832 : 450,155 = 450,155 : x
  2. Step 2: Convert to fraction form
    321,832/450,155 = 450,155/x
  3. Step 3: Cross multiply
    321,832x = 450,155 × 450,155
  4. Step 4: Simplify right side
    321,832x = 202,639,524,025
  5. Step 5: Solve for x
    x = 202,639,524,025/321,832
  6. Step 6: Final answer
    x = 629,643.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.