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Finding the Third Proportional to 246,477 and 396,822

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Solution

The third proportional to 246,477 and 396,822 is: 638,873.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,477 : 396,822 = 396,822 : x
  2. Step 2: Convert to fraction form
    246,477/396,822 = 396,822/x
  3. Step 3: Cross multiply
    246,477x = 396,822 × 396,822
  4. Step 4: Simplify right side
    246,477x = 157,467,699,684
  5. Step 5: Solve for x
    x = 157,467,699,684/246,477
  6. Step 6: Final answer
    x = 638,873.81

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.