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Finding the Third Proportional to 9,873 and 20,855

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Solution

The third proportional to 9,873 and 20,855 is: 44,052.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873 : 20,855 = 20,855 : x
  2. Step 2: Convert to fraction form
    9,873/20,855 = 20,855/x
  3. Step 3: Cross multiply
    9,873x = 20,855 × 20,855
  4. Step 4: Simplify right side
    9,873x = 434,931,025
  5. Step 5: Solve for x
    x = 434,931,025/9,873
  6. Step 6: Final answer
    x = 44,052.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.