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Finding the Third Proportional to 311,867 and 407,827

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Solution

The third proportional to 311,867 and 407,827 is: 533,313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,867 : 407,827 = 407,827 : x
  2. Step 2: Convert to fraction form
    311,867/407,827 = 407,827/x
  3. Step 3: Cross multiply
    311,867x = 407,827 × 407,827
  4. Step 4: Simplify right side
    311,867x = 166,322,861,929
  5. Step 5: Solve for x
    x = 166,322,861,929/311,867
  6. Step 6: Final answer
    x = 533,313.44

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.