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Finding the Third Proportional to 7,879 and 16,982

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Solution

The third proportional to 7,879 and 16,982 is: 36,602.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879 : 16,982 = 16,982 : x
  2. Step 2: Convert to fraction form
    7,879/16,982 = 16,982/x
  3. Step 3: Cross multiply
    7,879x = 16,982 × 16,982
  4. Step 4: Simplify right side
    7,879x = 288,388,324
  5. Step 5: Solve for x
    x = 288,388,324/7,879
  6. Step 6: Final answer
    x = 36,602.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.