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Finding the Third Proportional to 143,414 and 311,698

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Solution

The third proportional to 143,414 and 311,698 is: 677,448.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,414 : 311,698 = 311,698 : x
  2. Step 2: Convert to fraction form
    143,414/311,698 = 311,698/x
  3. Step 3: Cross multiply
    143,414x = 311,698 × 311,698
  4. Step 4: Simplify right side
    143,414x = 97,155,643,204
  5. Step 5: Solve for x
    x = 97,155,643,204/143,414
  6. Step 6: Final answer
    x = 677,448.81

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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.