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Finding the Third Proportional to 16,815 and 36,739

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Solution

The third proportional to 16,815 and 36,739 is: 80,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,815 : 36,739 = 36,739 : x
  2. Step 2: Convert to fraction form
    16,815/36,739 = 36,739/x
  3. Step 3: Cross multiply
    16,815x = 36,739 × 36,739
  4. Step 4: Simplify right side
    16,815x = 1,349,754,121
  5. Step 5: Solve for x
    x = 1,349,754,121/16,815
  6. Step 6: Final answer
    x = 80,270.84

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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.