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Finding the Third Proportional to 21,811 and 47,767

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Solution

The third proportional to 21,811 and 47,767 is: 104,611.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,811 : 47,767 = 47,767 : x
  2. Step 2: Convert to fraction form
    21,811/47,767 = 47,767/x
  3. Step 3: Cross multiply
    21,811x = 47,767 × 47,767
  4. Step 4: Simplify right side
    21,811x = 2,281,686,289
  5. Step 5: Solve for x
    x = 2,281,686,289/21,811
  6. Step 6: Final answer
    x = 104,611.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.