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Finding the Third Proportional to 311,866 and 407,825

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Solution

The third proportional to 311,866 and 407,825 is: 533,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,866 : 407,825 = 407,825 : x
  2. Step 2: Convert to fraction form
    311,866/407,825 = 407,825/x
  3. Step 3: Cross multiply
    311,866x = 407,825 × 407,825
  4. Step 4: Simplify right side
    311,866x = 166,321,230,625
  5. Step 5: Solve for x
    x = 166,321,230,625/311,866
  6. Step 6: Final answer
    x = 533,309.92

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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.