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Finding the Third Proportional to 86,586 and 186,120

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Solution

The third proportional to 86,586 and 186,120 is: 400,072.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,586 : 186,120 = 186,120 : x
  2. Step 2: Convert to fraction form
    86,586/186,120 = 186,120/x
  3. Step 3: Cross multiply
    86,586x = 186,120 × 186,120
  4. Step 4: Simplify right side
    86,586x = 34,640,654,400
  5. Step 5: Solve for x
    x = 34,640,654,400/86,586
  6. Step 6: Final answer
    x = 400,072.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.