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Finding the Third Proportional to 21,109 and 33,425

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Solution

The third proportional to 21,109 and 33,425 is: 52,926.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,109 : 33,425 = 33,425 : x
  2. Step 2: Convert to fraction form
    21,109/33,425 = 33,425/x
  3. Step 3: Cross multiply
    21,109x = 33,425 × 33,425
  4. Step 4: Simplify right side
    21,109x = 1,117,230,625
  5. Step 5: Solve for x
    x = 1,117,230,625/21,109
  6. Step 6: Final answer
    x = 52,926.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.