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Finding the Third Proportional to 86,728 and 186,392

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Solution

The third proportional to 86,728 and 186,392 is: 400,585.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,728 : 186,392 = 186,392 : x
  2. Step 2: Convert to fraction form
    86,728/186,392 = 186,392/x
  3. Step 3: Cross multiply
    86,728x = 186,392 × 186,392
  4. Step 4: Simplify right side
    86,728x = 34,741,977,664
  5. Step 5: Solve for x
    x = 34,741,977,664/86,728
  6. Step 6: Final answer
    x = 400,585.48

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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.