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Finding the Third Proportional to 372,408 and 809,616

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Solution

The third proportional to 372,408 and 809,616 is: 1,760,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,408 : 809,616 = 809,616 : x
  2. Step 2: Convert to fraction form
    372,408/809,616 = 809,616/x
  3. Step 3: Cross multiply
    372,408x = 809,616 × 809,616
  4. Step 4: Simplify right side
    372,408x = 655,478,067,456
  5. Step 5: Solve for x
    x = 655,478,067,456/372,408
  6. Step 6: Final answer
    x = 1,760,107.38

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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.