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Finding the Third Proportional to 21,366 and 33,169.22

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Solution

The third proportional to 21,366 and 33,169.22 is: 51,492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,366 : 33,169.22 = 33,169.22 : x
  2. Step 2: Convert to fraction form
    21,366/33,169.22 = 33,169.22/x
  3. Step 3: Cross multiply
    21,366x = 33,169.22 × 33,169.22
  4. Step 4: Simplify right side
    21,366x = 1,100,197,072.49
  5. Step 5: Solve for x
    x = 1,100,197,072.49/21,366
  6. Step 6: Final answer
    x = 51,492.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.