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Finding the Third Proportional to 20,143 and 27,660

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Solution

The third proportional to 20,143 and 27,660 is: 37,982.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143 : 27,660 = 27,660 : x
  2. Step 2: Convert to fraction form
    20,143/27,660 = 27,660/x
  3. Step 3: Cross multiply
    20,143x = 27,660 × 27,660
  4. Step 4: Simplify right side
    20,143x = 765,075,600
  5. Step 5: Solve for x
    x = 765,075,600/20,143
  6. Step 6: Final answer
    x = 37,982.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.