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Finding the Third Proportional to 21,867 and 44,731

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Solution

The third proportional to 21,867 and 44,731 is: 91,501.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,867 : 44,731 = 44,731 : x
  2. Step 2: Convert to fraction form
    21,867/44,731 = 44,731/x
  3. Step 3: Cross multiply
    21,867x = 44,731 × 44,731
  4. Step 4: Simplify right side
    21,867x = 2,000,862,361
  5. Step 5: Solve for x
    x = 2,000,862,361/21,867
  6. Step 6: Final answer
    x = 91,501.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.