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Finding the Third Proportional to 599,039 and 1,289,420

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Solution

The third proportional to 599,039 and 1,289,420 is: 2,775,451.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,039 : 1,289,420 = 1,289,420 : x
  2. Step 2: Convert to fraction form
    599,039/1,289,420 = 1,289,420/x
  3. Step 3: Cross multiply
    599,039x = 1,289,420 × 1,289,420
  4. Step 4: Simplify right side
    599,039x = 1,662,603,936,400
  5. Step 5: Solve for x
    x = 1,662,603,936,400/599,039
  6. Step 6: Final answer
    x = 2,775,451.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.