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Finding the Third Proportional to 311,177 and 666,634

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Solution

The third proportional to 311,177 and 666,634 is: 1,428,128.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,177 : 666,634 = 666,634 : x
  2. Step 2: Convert to fraction form
    311,177/666,634 = 666,634/x
  3. Step 3: Cross multiply
    311,177x = 666,634 × 666,634
  4. Step 4: Simplify right side
    311,177x = 444,400,889,956
  5. Step 5: Solve for x
    x = 444,400,889,956/311,177
  6. Step 6: Final answer
    x = 1,428,128.97

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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.