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Finding the Third Proportional to 311,864 and 407,822

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Solution

The third proportional to 311,864 and 407,822 is: 533,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,864 : 407,822 = 407,822 : x
  2. Step 2: Convert to fraction form
    311,864/407,822 = 407,822/x
  3. Step 3: Cross multiply
    311,864x = 407,822 × 407,822
  4. Step 4: Simplify right side
    311,864x = 166,318,783,684
  5. Step 5: Solve for x
    x = 166,318,783,684/311,864
  6. Step 6: Final answer
    x = 533,305.49

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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.