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Finding the Third Proportional to 422,830 and 647,642

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Solution

The third proportional to 422,830 and 647,642 is: 991,982.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,830 : 647,642 = 647,642 : x
  2. Step 2: Convert to fraction form
    422,830/647,642 = 647,642/x
  3. Step 3: Cross multiply
    422,830x = 647,642 × 647,642
  4. Step 4: Simplify right side
    422,830x = 419,440,160,164
  5. Step 5: Solve for x
    x = 419,440,160,164/422,830
  6. Step 6: Final answer
    x = 991,982.97

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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.