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Finding the Third Proportional to 143,378 and 311,906

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Solution

The third proportional to 143,378 and 311,906 is: 678,523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,378 : 311,906 = 311,906 : x
  2. Step 2: Convert to fraction form
    143,378/311,906 = 311,906/x
  3. Step 3: Cross multiply
    143,378x = 311,906 × 311,906
  4. Step 4: Simplify right side
    143,378x = 97,285,352,836
  5. Step 5: Solve for x
    x = 97,285,352,836/143,378
  6. Step 6: Final answer
    x = 678,523.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.