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Finding the Third Proportional to 422,918 and 647,772

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Solution

The third proportional to 422,918 and 647,772 is: 992,174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,918 : 647,772 = 647,772 : x
  2. Step 2: Convert to fraction form
    422,918/647,772 = 647,772/x
  3. Step 3: Cross multiply
    422,918x = 647,772 × 647,772
  4. Step 4: Simplify right side
    422,918x = 419,608,563,984
  5. Step 5: Solve for x
    x = 419,608,563,984/422,918
  6. Step 6: Final answer
    x = 992,174.76

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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.