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Finding the Third Proportional to 20,506.75 and 33,485

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Solution

The third proportional to 20,506.75 and 33,485 is: 54,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.75 : 33,485 = 33,485 : x
  2. Step 2: Convert to fraction form
    20,506.75/33,485 = 33,485/x
  3. Step 3: Cross multiply
    20,506.75x = 33,485 × 33,485
  4. Step 4: Simplify right side
    20,506.75x = 1,121,245,225
  5. Step 5: Solve for x
    x = 1,121,245,225/20,506.75
  6. Step 6: Final answer
    x = 54,676.89

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.