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Finding the Third Proportional to 20,520 and 22,680

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Solution

The third proportional to 20,520 and 22,680 is: 25,067.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,520 : 22,680 = 22,680 : x
  2. Step 2: Convert to fraction form
    20,520/22,680 = 22,680/x
  3. Step 3: Cross multiply
    20,520x = 22,680 × 22,680
  4. Step 4: Simplify right side
    20,520x = 514,382,400
  5. Step 5: Solve for x
    x = 514,382,400/20,520
  6. Step 6: Final answer
    x = 25,067.37

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.