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Finding the Third Proportional to 16,900 and 36,682

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Solution

The third proportional to 16,900 and 36,682 is: 79,619.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,900 : 36,682 = 36,682 : x
  2. Step 2: Convert to fraction form
    16,900/36,682 = 36,682/x
  3. Step 3: Cross multiply
    16,900x = 36,682 × 36,682
  4. Step 4: Simplify right side
    16,900x = 1,345,569,124
  5. Step 5: Solve for x
    x = 1,345,569,124/16,900
  6. Step 6: Final answer
    x = 79,619.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.