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Finding the Third Proportional to 7,898 and 16,786

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Solution

The third proportional to 7,898 and 16,786 is: 35,676.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898 : 16,786 = 16,786 : x
  2. Step 2: Convert to fraction form
    7,898/16,786 = 16,786/x
  3. Step 3: Cross multiply
    7,898x = 16,786 × 16,786
  4. Step 4: Simplify right side
    7,898x = 281,769,796
  5. Step 5: Solve for x
    x = 281,769,796/7,898
  6. Step 6: Final answer
    x = 35,676.09

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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.