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Finding the Third Proportional to 4,109.77 and 8,876.39

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Solution

The third proportional to 4,109.77 and 8,876.39 is: 19,171.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.77 : 8,876.39 = 8,876.39 : x
  2. Step 2: Convert to fraction form
    4,109.77/8,876.39 = 8,876.39/x
  3. Step 3: Cross multiply
    4,109.77x = 8,876.39 × 8,876.39
  4. Step 4: Simplify right side
    4,109.77x = 78,790,310.53
  5. Step 5: Solve for x
    x = 78,790,310.53/4,109.77
  6. Step 6: Final answer
    x = 19,171.49

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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.