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Finding the Third Proportional to 39,879 and 83,889

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Solution

The third proportional to 39,879 and 83,889 is: 176,467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,879 : 83,889 = 83,889 : x
  2. Step 2: Convert to fraction form
    39,879/83,889 = 83,889/x
  3. Step 3: Cross multiply
    39,879x = 83,889 × 83,889
  4. Step 4: Simplify right side
    39,879x = 7,037,364,321
  5. Step 5: Solve for x
    x = 7,037,364,321/39,879
  6. Step 6: Final answer
    x = 176,467.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.