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Finding the Third Proportional to 21,810 and 33,567

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Solution

The third proportional to 21,810 and 33,567 is: 51,661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,810 : 33,567 = 33,567 : x
  2. Step 2: Convert to fraction form
    21,810/33,567 = 33,567/x
  3. Step 3: Cross multiply
    21,810x = 33,567 × 33,567
  4. Step 4: Simplify right side
    21,810x = 1,126,743,489
  5. Step 5: Solve for x
    x = 1,126,743,489/21,810
  6. Step 6: Final answer
    x = 51,661.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.