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Finding the Third Proportional to 609,378 and 1,320,447

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Solution

The third proportional to 609,378 and 1,320,447 is: 2,861,245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,378 : 1,320,447 = 1,320,447 : x
  2. Step 2: Convert to fraction form
    609,378/1,320,447 = 1,320,447/x
  3. Step 3: Cross multiply
    609,378x = 1,320,447 × 1,320,447
  4. Step 4: Simplify right side
    609,378x = 1,743,580,279,809
  5. Step 5: Solve for x
    x = 1,743,580,279,809/609,378
  6. Step 6: Final answer
    x = 2,861,245.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.