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Finding the Third Proportional to 9,799 and 21,189

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Solution

The third proportional to 9,799 and 21,189 is: 45,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799 : 21,189 = 21,189 : x
  2. Step 2: Convert to fraction form
    9,799/21,189 = 21,189/x
  3. Step 3: Cross multiply
    9,799x = 21,189 × 21,189
  4. Step 4: Simplify right side
    9,799x = 448,973,721
  5. Step 5: Solve for x
    x = 448,973,721/9,799
  6. Step 6: Final answer
    x = 45,818.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.