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Finding the Third Proportional to 149,828 and 321,891

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Solution

The third proportional to 149,828 and 321,891 is: 691,551.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,828 : 321,891 = 321,891 : x
  2. Step 2: Convert to fraction form
    149,828/321,891 = 321,891/x
  3. Step 3: Cross multiply
    149,828x = 321,891 × 321,891
  4. Step 4: Simplify right side
    149,828x = 103,613,815,881
  5. Step 5: Solve for x
    x = 103,613,815,881/149,828
  6. Step 6: Final answer
    x = 691,551.75

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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.