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Finding the Third Proportional to 18,021 and 28,697

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Solution

The third proportional to 18,021 and 28,697 is: 45,697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,021 : 28,697 = 28,697 : x
  2. Step 2: Convert to fraction form
    18,021/28,697 = 28,697/x
  3. Step 3: Cross multiply
    18,021x = 28,697 × 28,697
  4. Step 4: Simplify right side
    18,021x = 823,517,809
  5. Step 5: Solve for x
    x = 823,517,809/18,021
  6. Step 6: Final answer
    x = 45,697.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.