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Finding the Third Proportional to 71,886 and 108,829

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Solution

The third proportional to 71,886 and 108,829 is: 164,757.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,886 : 108,829 = 108,829 : x
  2. Step 2: Convert to fraction form
    71,886/108,829 = 108,829/x
  3. Step 3: Cross multiply
    71,886x = 108,829 × 108,829
  4. Step 4: Simplify right side
    71,886x = 11,843,751,241
  5. Step 5: Solve for x
    x = 11,843,751,241/71,886
  6. Step 6: Final answer
    x = 164,757.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.