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Finding the Third Proportional to 129,968 and 195,912

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Solution

The third proportional to 129,968 and 195,912 is: 295,315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,968 : 195,912 = 195,912 : x
  2. Step 2: Convert to fraction form
    129,968/195,912 = 195,912/x
  3. Step 3: Cross multiply
    129,968x = 195,912 × 195,912
  4. Step 4: Simplify right side
    129,968x = 38,381,511,744
  5. Step 5: Solve for x
    x = 38,381,511,744/129,968
  6. Step 6: Final answer
    x = 295,315.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.