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Finding the Third Proportional to 20,021 and 28,086

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Solution

The third proportional to 20,021 and 28,086 is: 39,399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,021 : 28,086 = 28,086 : x
  2. Step 2: Convert to fraction form
    20,021/28,086 = 28,086/x
  3. Step 3: Cross multiply
    20,021x = 28,086 × 28,086
  4. Step 4: Simplify right side
    20,021x = 788,823,396
  5. Step 5: Solve for x
    x = 788,823,396/20,021
  6. Step 6: Final answer
    x = 39,399.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.