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Finding the Third Proportional to 86,831 and 176,075

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Solution

The third proportional to 86,831 and 176,075 is: 357,043.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,831 : 176,075 = 176,075 : x
  2. Step 2: Convert to fraction form
    86,831/176,075 = 176,075/x
  3. Step 3: Cross multiply
    86,831x = 176,075 × 176,075
  4. Step 4: Simplify right side
    86,831x = 31,002,405,625
  5. Step 5: Solve for x
    x = 31,002,405,625/86,831
  6. Step 6: Final answer
    x = 357,043.06

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.