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Finding the Third Proportional to 21,991 and 48,015

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Solution

The third proportional to 21,991 and 48,015 is: 104,835.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,991 : 48,015 = 48,015 : x
  2. Step 2: Convert to fraction form
    21,991/48,015 = 48,015/x
  3. Step 3: Cross multiply
    21,991x = 48,015 × 48,015
  4. Step 4: Simplify right side
    21,991x = 2,305,440,225
  5. Step 5: Solve for x
    x = 2,305,440,225/21,991
  6. Step 6: Final answer
    x = 104,835.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.