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Finding the Third Proportional to 9,873 and 21,149

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Solution

The third proportional to 9,873 and 21,149 is: 45,303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873 : 21,149 = 21,149 : x
  2. Step 2: Convert to fraction form
    9,873/21,149 = 21,149/x
  3. Step 3: Cross multiply
    9,873x = 21,149 × 21,149
  4. Step 4: Simplify right side
    9,873x = 447,280,201
  5. Step 5: Solve for x
    x = 447,280,201/9,873
  6. Step 6: Final answer
    x = 45,303.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.