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Finding the Third Proportional to 20,256 and 47,120

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Solution

The third proportional to 20,256 and 47,120 is: 109,611.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,256 : 47,120 = 47,120 : x
  2. Step 2: Convert to fraction form
    20,256/47,120 = 47,120/x
  3. Step 3: Cross multiply
    20,256x = 47,120 × 47,120
  4. Step 4: Simplify right side
    20,256x = 2,220,294,400
  5. Step 5: Solve for x
    x = 2,220,294,400/20,256
  6. Step 6: Final answer
    x = 109,611.69

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.