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Finding the Third Proportional to 19,698 and 25,821

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Solution

The third proportional to 19,698 and 25,821 is: 33,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,698 : 25,821 = 25,821 : x
  2. Step 2: Convert to fraction form
    19,698/25,821 = 25,821/x
  3. Step 3: Cross multiply
    19,698x = 25,821 × 25,821
  4. Step 4: Simplify right side
    19,698x = 666,724,041
  5. Step 5: Solve for x
    x = 666,724,041/19,698
  6. Step 6: Final answer
    x = 33,847.30

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.