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Finding the Third Proportional to 21,874 and 47,636

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Solution

The third proportional to 21,874 and 47,636 is: 103,739.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874 : 47,636 = 47,636 : x
  2. Step 2: Convert to fraction form
    21,874/47,636 = 47,636/x
  3. Step 3: Cross multiply
    21,874x = 47,636 × 47,636
  4. Step 4: Simplify right side
    21,874x = 2,269,188,496
  5. Step 5: Solve for x
    x = 2,269,188,496/21,874
  6. Step 6: Final answer
    x = 103,739.07

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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.