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Finding the Third Proportional to 86,718 and 186,375

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Solution

The third proportional to 86,718 and 186,375 is: 400,558.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,718 : 186,375 = 186,375 : x
  2. Step 2: Convert to fraction form
    86,718/186,375 = 186,375/x
  3. Step 3: Cross multiply
    86,718x = 186,375 × 186,375
  4. Step 4: Simplify right side
    86,718x = 34,735,640,625
  5. Step 5: Solve for x
    x = 34,735,640,625/86,718
  6. Step 6: Final answer
    x = 400,558.60

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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.