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Finding the Third Proportional to 420,489 and 635,751

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Solution

The third proportional to 420,489 and 635,751 is: 961,212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,489 : 635,751 = 635,751 : x
  2. Step 2: Convert to fraction form
    420,489/635,751 = 635,751/x
  3. Step 3: Cross multiply
    420,489x = 635,751 × 635,751
  4. Step 4: Simplify right side
    420,489x = 404,179,334,001
  5. Step 5: Solve for x
    x = 404,179,334,001/420,489
  6. Step 6: Final answer
    x = 961,212.62

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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.