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Finding the Third Proportional to 422,949 and 647,817

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Solution

The third proportional to 422,949 and 647,817 is: 992,239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,949 : 647,817 = 647,817 : x
  2. Step 2: Convert to fraction form
    422,949/647,817 = 647,817/x
  3. Step 3: Cross multiply
    422,949x = 647,817 × 647,817
  4. Step 4: Simplify right side
    422,949x = 419,666,865,489
  5. Step 5: Solve for x
    x = 419,666,865,489/422,949
  6. Step 6: Final answer
    x = 992,239.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.