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Finding the Third Proportional to 86,667 and 188,130

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Solution

The third proportional to 86,667 and 188,130 is: 408,378.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,667 : 188,130 = 188,130 : x
  2. Step 2: Convert to fraction form
    86,667/188,130 = 188,130/x
  3. Step 3: Cross multiply
    86,667x = 188,130 × 188,130
  4. Step 4: Simplify right side
    86,667x = 35,392,896,900
  5. Step 5: Solve for x
    x = 35,392,896,900/86,667
  6. Step 6: Final answer
    x = 408,378.01

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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.