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Finding the Third Proportional to 19,821 and 27,180

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Solution

The third proportional to 19,821 and 27,180 is: 37,271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,821 : 27,180 = 27,180 : x
  2. Step 2: Convert to fraction form
    19,821/27,180 = 27,180/x
  3. Step 3: Cross multiply
    19,821x = 27,180 × 27,180
  4. Step 4: Simplify right side
    19,821x = 738,752,400
  5. Step 5: Solve for x
    x = 738,752,400/19,821
  6. Step 6: Final answer
    x = 37,271.20

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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.