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Finding the Third Proportional to 21,855 and 47,921

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Solution

The third proportional to 21,855 and 47,921 is: 105,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,855 : 47,921 = 47,921 : x
  2. Step 2: Convert to fraction form
    21,855/47,921 = 47,921/x
  3. Step 3: Cross multiply
    21,855x = 47,921 × 47,921
  4. Step 4: Simplify right side
    21,855x = 2,296,422,241
  5. Step 5: Solve for x
    x = 2,296,422,241/21,855
  6. Step 6: Final answer
    x = 105,075.37

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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.