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Finding the Third Proportional to 422,910 and 647,760

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Solution

The third proportional to 422,910 and 647,760 is: 992,156.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,910 : 647,760 = 647,760 : x
  2. Step 2: Convert to fraction form
    422,910/647,760 = 647,760/x
  3. Step 3: Cross multiply
    422,910x = 647,760 × 647,760
  4. Step 4: Simplify right side
    422,910x = 419,593,017,600
  5. Step 5: Solve for x
    x = 419,593,017,600/422,910
  6. Step 6: Final answer
    x = 992,156.77

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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.