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Finding the Third Proportional to 20,646 and 28,728

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Solution

The third proportional to 20,646 and 28,728 is: 39,973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,646 : 28,728 = 28,728 : x
  2. Step 2: Convert to fraction form
    20,646/28,728 = 28,728/x
  3. Step 3: Cross multiply
    20,646x = 28,728 × 28,728
  4. Step 4: Simplify right side
    20,646x = 825,297,984
  5. Step 5: Solve for x
    x = 825,297,984/20,646
  6. Step 6: Final answer
    x = 39,973.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.