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Finding the Third Proportional to 311,083 and 666,227

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Solution

The third proportional to 311,083 and 666,227 is: 1,426,816.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,083 : 666,227 = 666,227 : x
  2. Step 2: Convert to fraction form
    311,083/666,227 = 666,227/x
  3. Step 3: Cross multiply
    311,083x = 666,227 × 666,227
  4. Step 4: Simplify right side
    311,083x = 443,858,415,529
  5. Step 5: Solve for x
    x = 443,858,415,529/311,083
  6. Step 6: Final answer
    x = 1,426,816.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.