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Finding the Third Proportional to 18,260 and 39,869

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Solution

The third proportional to 18,260 and 39,869 is: 87,050.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,260 : 39,869 = 39,869 : x
  2. Step 2: Convert to fraction form
    18,260/39,869 = 39,869/x
  3. Step 3: Cross multiply
    18,260x = 39,869 × 39,869
  4. Step 4: Simplify right side
    18,260x = 1,589,537,161
  5. Step 5: Solve for x
    x = 1,589,537,161/18,260
  6. Step 6: Final answer
    x = 87,050.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.