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Finding the Third Proportional to 21,818 and 46,977

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Solution

The third proportional to 21,818 and 46,977 is: 101,147.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,818 : 46,977 = 46,977 : x
  2. Step 2: Convert to fraction form
    21,818/46,977 = 46,977/x
  3. Step 3: Cross multiply
    21,818x = 46,977 × 46,977
  4. Step 4: Simplify right side
    21,818x = 2,206,838,529
  5. Step 5: Solve for x
    x = 2,206,838,529/21,818
  6. Step 6: Final answer
    x = 101,147.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.