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Finding the Third Proportional to 409,609 and 635,980

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Solution

The third proportional to 409,609 and 635,980 is: 987,455.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,609 : 635,980 = 635,980 : x
  2. Step 2: Convert to fraction form
    409,609/635,980 = 635,980/x
  3. Step 3: Cross multiply
    409,609x = 635,980 × 635,980
  4. Step 4: Simplify right side
    409,609x = 404,470,560,400
  5. Step 5: Solve for x
    x = 404,470,560,400/409,609
  6. Step 6: Final answer
    x = 987,455.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.