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Finding the Third Proportional to 143,412 and 311,694

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Solution

The third proportional to 143,412 and 311,694 is: 677,440.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,412 : 311,694 = 311,694 : x
  2. Step 2: Convert to fraction form
    143,412/311,694 = 311,694/x
  3. Step 3: Cross multiply
    143,412x = 311,694 × 311,694
  4. Step 4: Simplify right side
    143,412x = 97,153,149,636
  5. Step 5: Solve for x
    x = 97,153,149,636/143,412
  6. Step 6: Final answer
    x = 677,440.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.