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Finding the Third Proportional to 141,867 and 311,375

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Solution

The third proportional to 141,867 and 311,375 is: 683,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,867 : 311,375 = 311,375 : x
  2. Step 2: Convert to fraction form
    141,867/311,375 = 311,375/x
  3. Step 3: Cross multiply
    141,867x = 311,375 × 311,375
  4. Step 4: Simplify right side
    141,867x = 96,954,390,625
  5. Step 5: Solve for x
    x = 96,954,390,625/141,867
  6. Step 6: Final answer
    x = 683,417.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.