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Finding the Third Proportional to 311,869 and 407,830

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Solution

The third proportional to 311,869 and 407,830 is: 533,317.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,869 : 407,830 = 407,830 : x
  2. Step 2: Convert to fraction form
    311,869/407,830 = 407,830/x
  3. Step 3: Cross multiply
    311,869x = 407,830 × 407,830
  4. Step 4: Simplify right side
    311,869x = 166,325,308,900
  5. Step 5: Solve for x
    x = 166,325,308,900/311,869
  6. Step 6: Final answer
    x = 533,317.86

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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.