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Finding the Third Proportional to 141,722 and 311,089

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Solution

The third proportional to 141,722 and 311,089 is: 682,860.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,722 : 311,089 = 311,089 : x
  2. Step 2: Convert to fraction form
    141,722/311,089 = 311,089/x
  3. Step 3: Cross multiply
    141,722x = 311,089 × 311,089
  4. Step 4: Simplify right side
    141,722x = 96,776,365,921
  5. Step 5: Solve for x
    x = 96,776,365,921/141,722
  6. Step 6: Final answer
    x = 682,860.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.