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Finding the Third Proportional to 20,696 and 28,567

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Solution

The third proportional to 20,696 and 28,567 is: 39,431.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,696 : 28,567 = 28,567 : x
  2. Step 2: Convert to fraction form
    20,696/28,567 = 28,567/x
  3. Step 3: Cross multiply
    20,696x = 28,567 × 28,567
  4. Step 4: Simplify right side
    20,696x = 816,073,489
  5. Step 5: Solve for x
    x = 816,073,489/20,696
  6. Step 6: Final answer
    x = 39,431.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.