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Finding the Third Proportional to 40,012 and 86,809

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Solution

The third proportional to 40,012 and 86,809 is: 188,338.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,012 : 86,809 = 86,809 : x
  2. Step 2: Convert to fraction form
    40,012/86,809 = 86,809/x
  3. Step 3: Cross multiply
    40,012x = 86,809 × 86,809
  4. Step 4: Simplify right side
    40,012x = 7,535,802,481
  5. Step 5: Solve for x
    x = 7,535,802,481/40,012
  6. Step 6: Final answer
    x = 188,338.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.