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Finding the Third Proportional to 143,367 and 311,655

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Solution

The third proportional to 143,367 and 311,655 is: 677,483.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,367 : 311,655 = 311,655 : x
  2. Step 2: Convert to fraction form
    143,367/311,655 = 311,655/x
  3. Step 3: Cross multiply
    143,367x = 311,655 × 311,655
  4. Step 4: Simplify right side
    143,367x = 97,128,839,025
  5. Step 5: Solve for x
    x = 97,128,839,025/143,367
  6. Step 6: Final answer
    x = 677,483.93

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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.