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Finding the Third Proportional to 143,325 and 311,571

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Solution

The third proportional to 143,325 and 311,571 is: 677,317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,325 : 311,571 = 311,571 : x
  2. Step 2: Convert to fraction form
    143,325/311,571 = 311,571/x
  3. Step 3: Cross multiply
    143,325x = 311,571 × 311,571
  4. Step 4: Simplify right side
    143,325x = 97,076,488,041
  5. Step 5: Solve for x
    x = 97,076,488,041/143,325
  6. Step 6: Final answer
    x = 677,317.20

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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.