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Finding the Third Proportional to 21,720 and 33,878

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Solution

The third proportional to 21,720 and 33,878 is: 52,841.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,720 : 33,878 = 33,878 : x
  2. Step 2: Convert to fraction form
    21,720/33,878 = 33,878/x
  3. Step 3: Cross multiply
    21,720x = 33,878 × 33,878
  4. Step 4: Simplify right side
    21,720x = 1,147,718,884
  5. Step 5: Solve for x
    x = 1,147,718,884/21,720
  6. Step 6: Final answer
    x = 52,841.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.