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Finding the Third Proportional to 79,326 and 108,777

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Solution

The third proportional to 79,326 and 108,777 is: 149,162.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,326 : 108,777 = 108,777 : x
  2. Step 2: Convert to fraction form
    79,326/108,777 = 108,777/x
  3. Step 3: Cross multiply
    79,326x = 108,777 × 108,777
  4. Step 4: Simplify right side
    79,326x = 11,832,435,729
  5. Step 5: Solve for x
    x = 11,832,435,729/79,326
  6. Step 6: Final answer
    x = 149,162.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.