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Finding the Third Proportional to 149,326 and 324,891

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Solution

The third proportional to 149,326 and 324,891 is: 706,870.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,326 : 324,891 = 324,891 : x
  2. Step 2: Convert to fraction form
    149,326/324,891 = 324,891/x
  3. Step 3: Cross multiply
    149,326x = 324,891 × 324,891
  4. Step 4: Simplify right side
    149,326x = 105,554,161,881
  5. Step 5: Solve for x
    x = 105,554,161,881/149,326
  6. Step 6: Final answer
    x = 706,870.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.