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Finding the Third Proportional to 21,888 and 49,860

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Solution

The third proportional to 21,888 and 49,860 is: 113,579.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,888 : 49,860 = 49,860 : x
  2. Step 2: Convert to fraction form
    21,888/49,860 = 49,860/x
  3. Step 3: Cross multiply
    21,888x = 49,860 × 49,860
  4. Step 4: Simplify right side
    21,888x = 2,486,019,600
  5. Step 5: Solve for x
    x = 2,486,019,600/21,888
  6. Step 6: Final answer
    x = 113,579.11

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.