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Finding the Third Proportional to 21,872 and 48,149

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Solution

The third proportional to 21,872 and 48,149 is: 105,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872 : 48,149 = 48,149 : x
  2. Step 2: Convert to fraction form
    21,872/48,149 = 48,149/x
  3. Step 3: Cross multiply
    21,872x = 48,149 × 48,149
  4. Step 4: Simplify right side
    21,872x = 2,318,326,201
  5. Step 5: Solve for x
    x = 2,318,326,201/21,872
  6. Step 6: Final answer
    x = 105,995.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.