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Finding the Third Proportional to 4,879 and 8,786

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Solution

The third proportional to 4,879 and 8,786 is: 15,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,879 : 8,786 = 8,786 : x
  2. Step 2: Convert to fraction form
    4,879/8,786 = 8,786/x
  3. Step 3: Cross multiply
    4,879x = 8,786 × 8,786
  4. Step 4: Simplify right side
    4,879x = 77,193,796
  5. Step 5: Solve for x
    x = 77,193,796/4,879
  6. Step 6: Final answer
    x = 15,821.64

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.