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Finding the Third Proportional to 16,987 and 36,161

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Solution

The third proportional to 16,987 and 36,161 is: 76,977.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,987 : 36,161 = 36,161 : x
  2. Step 2: Convert to fraction form
    16,987/36,161 = 36,161/x
  3. Step 3: Cross multiply
    16,987x = 36,161 × 36,161
  4. Step 4: Simplify right side
    16,987x = 1,307,617,921
  5. Step 5: Solve for x
    x = 1,307,617,921/16,987
  6. Step 6: Final answer
    x = 76,977.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.