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Finding the Third Proportional to 18,036 and 25,389

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Solution

The third proportional to 18,036 and 25,389 is: 35,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,036 : 25,389 = 25,389 : x
  2. Step 2: Convert to fraction form
    18,036/25,389 = 25,389/x
  3. Step 3: Cross multiply
    18,036x = 25,389 × 25,389
  4. Step 4: Simplify right side
    18,036x = 644,601,321
  5. Step 5: Solve for x
    x = 644,601,321/18,036
  6. Step 6: Final answer
    x = 35,739.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.