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Finding the Third Proportional to 149,825 and 321,885

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Solution

The third proportional to 149,825 and 321,885 is: 691,539.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,825 : 321,885 = 321,885 : x
  2. Step 2: Convert to fraction form
    149,825/321,885 = 321,885/x
  3. Step 3: Cross multiply
    149,825x = 321,885 × 321,885
  4. Step 4: Simplify right side
    149,825x = 103,609,953,225
  5. Step 5: Solve for x
    x = 103,609,953,225/149,825
  6. Step 6: Final answer
    x = 691,539.82

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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.