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Finding the Third Proportional to 409,002 and 631,744

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Solution

The third proportional to 409,002 and 631,744 is: 975,791.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,002 : 631,744 = 631,744 : x
  2. Step 2: Convert to fraction form
    409,002/631,744 = 631,744/x
  3. Step 3: Cross multiply
    409,002x = 631,744 × 631,744
  4. Step 4: Simplify right side
    409,002x = 399,100,481,536
  5. Step 5: Solve for x
    x = 399,100,481,536/409,002
  6. Step 6: Final answer
    x = 975,791.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.