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Finding the Third Proportional to 825,258 and 1,809,812

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Solution

The third proportional to 825,258 and 1,809,812 is: 3,968,964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,258 : 1,809,812 = 1,809,812 : x
  2. Step 2: Convert to fraction form
    825,258/1,809,812 = 1,809,812/x
  3. Step 3: Cross multiply
    825,258x = 1,809,812 × 1,809,812
  4. Step 4: Simplify right side
    825,258x = 3,275,419,475,344
  5. Step 5: Solve for x
    x = 3,275,419,475,344/825,258
  6. Step 6: Final answer
    x = 3,968,964.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.