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Finding the Third Proportional to 86,686 and 129,678

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Solution

The third proportional to 86,686 and 129,678 is: 193,991.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,686 : 129,678 = 129,678 : x
  2. Step 2: Convert to fraction form
    86,686/129,678 = 129,678/x
  3. Step 3: Cross multiply
    86,686x = 129,678 × 129,678
  4. Step 4: Simplify right side
    86,686x = 16,816,383,684
  5. Step 5: Solve for x
    x = 16,816,383,684/86,686
  6. Step 6: Final answer
    x = 193,991.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.