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Finding the Third Proportional to 20,672 and 43,680

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Solution

The third proportional to 20,672 and 43,680 is: 92,295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,672 : 43,680 = 43,680 : x
  2. Step 2: Convert to fraction form
    20,672/43,680 = 43,680/x
  3. Step 3: Cross multiply
    20,672x = 43,680 × 43,680
  4. Step 4: Simplify right side
    20,672x = 1,907,942,400
  5. Step 5: Solve for x
    x = 1,907,942,400/20,672
  6. Step 6: Final answer
    x = 92,295.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.