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Finding the Third Proportional to 422,469 and 637,296

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Solution

The third proportional to 422,469 and 637,296 is: 961,363.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,469 : 637,296 = 637,296 : x
  2. Step 2: Convert to fraction form
    422,469/637,296 = 637,296/x
  3. Step 3: Cross multiply
    422,469x = 637,296 × 637,296
  4. Step 4: Simplify right side
    422,469x = 406,146,191,616
  5. Step 5: Solve for x
    x = 406,146,191,616/422,469
  6. Step 6: Final answer
    x = 961,363.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.