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Finding the Third Proportional to 86,696 and 121,764

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Solution

The third proportional to 86,696 and 121,764 is: 171,016.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,696 : 121,764 = 121,764 : x
  2. Step 2: Convert to fraction form
    86,696/121,764 = 121,764/x
  3. Step 3: Cross multiply
    86,696x = 121,764 × 121,764
  4. Step 4: Simplify right side
    86,696x = 14,826,471,696
  5. Step 5: Solve for x
    x = 14,826,471,696/86,696
  6. Step 6: Final answer
    x = 171,016.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.