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Finding the Third Proportional to 20,640 and 33,200

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Solution

The third proportional to 20,640 and 33,200 is: 53,403.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,640 : 33,200 = 33,200 : x
  2. Step 2: Convert to fraction form
    20,640/33,200 = 33,200/x
  3. Step 3: Cross multiply
    20,640x = 33,200 × 33,200
  4. Step 4: Simplify right side
    20,640x = 1,102,240,000
  5. Step 5: Solve for x
    x = 1,102,240,000/20,640
  6. Step 6: Final answer
    x = 53,403.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.