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Finding the Third Proportional to 422,721 and 906,921

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Solution

The third proportional to 422,721 and 906,921 is: 1,945,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,721 : 906,921 = 906,921 : x
  2. Step 2: Convert to fraction form
    422,721/906,921 = 906,921/x
  3. Step 3: Cross multiply
    422,721x = 906,921 × 906,921
  4. Step 4: Simplify right side
    422,721x = 822,505,700,241
  5. Step 5: Solve for x
    x = 822,505,700,241/422,721
  6. Step 6: Final answer
    x = 1,945,741.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.