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Finding the Third Proportional to 21,857 and 47,884

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Solution

The third proportional to 21,857 and 47,884 is: 104,903.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,857 : 47,884 = 47,884 : x
  2. Step 2: Convert to fraction form
    21,857/47,884 = 47,884/x
  3. Step 3: Cross multiply
    21,857x = 47,884 × 47,884
  4. Step 4: Simplify right side
    21,857x = 2,292,877,456
  5. Step 5: Solve for x
    x = 2,292,877,456/21,857
  6. Step 6: Final answer
    x = 104,903.58

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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.