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Finding the Third Proportional to 149,831 and 321,896

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Solution

The third proportional to 149,831 and 321,896 is: 691,559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,831 : 321,896 = 321,896 : x
  2. Step 2: Convert to fraction form
    149,831/321,896 = 321,896/x
  3. Step 3: Cross multiply
    149,831x = 321,896 × 321,896
  4. Step 4: Simplify right side
    149,831x = 103,617,034,816
  5. Step 5: Solve for x
    x = 103,617,034,816/149,831
  6. Step 6: Final answer
    x = 691,559.39

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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.