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Finding the Third Proportional to 396,759 and 881,807

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Solution

The third proportional to 396,759 and 881,807 is: 1,959,838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,759 : 881,807 = 881,807 : x
  2. Step 2: Convert to fraction form
    396,759/881,807 = 881,807/x
  3. Step 3: Cross multiply
    396,759x = 881,807 × 881,807
  4. Step 4: Simplify right side
    396,759x = 777,583,585,249
  5. Step 5: Solve for x
    x = 777,583,585,249/396,759
  6. Step 6: Final answer
    x = 1,959,838.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.