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Finding the Third Proportional to 159,448.50 and 222,912

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Solution

The third proportional to 159,448.50 and 222,912 is: 311,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,448.50 : 222,912 = 222,912 : x
  2. Step 2: Convert to fraction form
    159,448.50/222,912 = 222,912/x
  3. Step 3: Cross multiply
    159,448.50x = 222,912 × 222,912
  4. Step 4: Simplify right side
    159,448.50x = 49,689,759,744
  5. Step 5: Solve for x
    x = 49,689,759,744/159,448.50
  6. Step 6: Final answer
    x = 311,635.17

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