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Finding the Third Proportional to 86,642 and 186,177

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Solution

The third proportional to 86,642 and 186,177 is: 400,058.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,642 : 186,177 = 186,177 : x
  2. Step 2: Convert to fraction form
    86,642/186,177 = 186,177/x
  3. Step 3: Cross multiply
    86,642x = 186,177 × 186,177
  4. Step 4: Simplify right side
    86,642x = 34,661,875,329
  5. Step 5: Solve for x
    x = 34,661,875,329/86,642
  6. Step 6: Final answer
    x = 400,058.58

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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.