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Finding the Third Proportional to 775,508 and 1,621,644

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Solution

The third proportional to 775,508 and 1,621,644 is: 3,390,976.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,508 : 1,621,644 = 1,621,644 : x
  2. Step 2: Convert to fraction form
    775,508/1,621,644 = 1,621,644/x
  3. Step 3: Cross multiply
    775,508x = 1,621,644 × 1,621,644
  4. Step 4: Simplify right side
    775,508x = 2,629,729,262,736
  5. Step 5: Solve for x
    x = 2,629,729,262,736/775,508
  6. Step 6: Final answer
    x = 3,390,976.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.