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Finding the Third Proportional to 21,919 and 47,939

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Solution

The third proportional to 21,919 and 47,939 is: 104,847.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,919 : 47,939 = 47,939 : x
  2. Step 2: Convert to fraction form
    21,919/47,939 = 47,939/x
  3. Step 3: Cross multiply
    21,919x = 47,939 × 47,939
  4. Step 4: Simplify right side
    21,919x = 2,298,147,721
  5. Step 5: Solve for x
    x = 2,298,147,721/21,919
  6. Step 6: Final answer
    x = 104,847.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.