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Finding the Third Proportional to 21,581 and 33,911

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Solution

The third proportional to 21,581 and 33,911 is: 53,285.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,581 : 33,911 = 33,911 : x
  2. Step 2: Convert to fraction form
    21,581/33,911 = 33,911/x
  3. Step 3: Cross multiply
    21,581x = 33,911 × 33,911
  4. Step 4: Simplify right side
    21,581x = 1,149,955,921
  5. Step 5: Solve for x
    x = 1,149,955,921/21,581
  6. Step 6: Final answer
    x = 53,285.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.