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Finding the Third Proportional to 86,727 and 186,390

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Solution

The third proportional to 86,727 and 186,390 is: 400,581.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,727 : 186,390 = 186,390 : x
  2. Step 2: Convert to fraction form
    86,727/186,390 = 186,390/x
  3. Step 3: Cross multiply
    86,727x = 186,390 × 186,390
  4. Step 4: Simplify right side
    86,727x = 34,741,232,100
  5. Step 5: Solve for x
    x = 34,741,232,100/86,727
  6. Step 6: Final answer
    x = 400,581.50

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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.