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Finding the Third Proportional to 16,640 and 36,197

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Solution

The third proportional to 16,640 and 36,197 is: 78,739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,640 : 36,197 = 36,197 : x
  2. Step 2: Convert to fraction form
    16,640/36,197 = 36,197/x
  3. Step 3: Cross multiply
    16,640x = 36,197 × 36,197
  4. Step 4: Simplify right side
    16,640x = 1,310,222,809
  5. Step 5: Solve for x
    x = 1,310,222,809/16,640
  6. Step 6: Final answer
    x = 78,739.35

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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.