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Finding the Third Proportional to 21,884 and 47,778

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Solution

The third proportional to 21,884 and 47,778 is: 104,310.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,884 : 47,778 = 47,778 : x
  2. Step 2: Convert to fraction form
    21,884/47,778 = 47,778/x
  3. Step 3: Cross multiply
    21,884x = 47,778 × 47,778
  4. Step 4: Simplify right side
    21,884x = 2,282,737,284
  5. Step 5: Solve for x
    x = 2,282,737,284/21,884
  6. Step 6: Final answer
    x = 104,310.79

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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.