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Finding the Third Proportional to 21,782 and 46,849

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Solution

The third proportional to 21,782 and 46,849 is: 100,763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782 : 46,849 = 46,849 : x
  2. Step 2: Convert to fraction form
    21,782/46,849 = 46,849/x
  3. Step 3: Cross multiply
    21,782x = 46,849 × 46,849
  4. Step 4: Simplify right side
    21,782x = 2,194,828,801
  5. Step 5: Solve for x
    x = 2,194,828,801/21,782
  6. Step 6: Final answer
    x = 100,763.42

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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.