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Finding the Third Proportional to 143,399 and 311,674

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Solution

The third proportional to 143,399 and 311,674 is: 677,415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,399 : 311,674 = 311,674 : x
  2. Step 2: Convert to fraction form
    143,399/311,674 = 311,674/x
  3. Step 3: Cross multiply
    143,399x = 311,674 × 311,674
  4. Step 4: Simplify right side
    143,399x = 97,140,682,276
  5. Step 5: Solve for x
    x = 97,140,682,276/143,399
  6. Step 6: Final answer
    x = 677,415.34

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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.