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Finding the Third Proportional to 21,454 and 47,821

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Solution

The third proportional to 21,454 and 47,821 is: 106,593.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,454 : 47,821 = 47,821 : x
  2. Step 2: Convert to fraction form
    21,454/47,821 = 47,821/x
  3. Step 3: Cross multiply
    21,454x = 47,821 × 47,821
  4. Step 4: Simplify right side
    21,454x = 2,286,848,041
  5. Step 5: Solve for x
    x = 2,286,848,041/21,454
  6. Step 6: Final answer
    x = 106,593.08

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.