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Finding the Third Proportional to 16,698 and 36,278

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Solution

The third proportional to 16,698 and 36,278 is: 78,817.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,698 : 36,278 = 36,278 : x
  2. Step 2: Convert to fraction form
    16,698/36,278 = 36,278/x
  3. Step 3: Cross multiply
    16,698x = 36,278 × 36,278
  4. Step 4: Simplify right side
    16,698x = 1,316,093,284
  5. Step 5: Solve for x
    x = 1,316,093,284/16,698
  6. Step 6: Final answer
    x = 78,817.42

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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.