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Finding the Third Proportional to 81,858 and 175,675

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Solution

The third proportional to 81,858 and 175,675 is: 377,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,858 : 175,675 = 175,675 : x
  2. Step 2: Convert to fraction form
    81,858/175,675 = 175,675/x
  3. Step 3: Cross multiply
    81,858x = 175,675 × 175,675
  4. Step 4: Simplify right side
    81,858x = 30,861,705,625
  5. Step 5: Solve for x
    x = 30,861,705,625/81,858
  6. Step 6: Final answer
    x = 377,015.14

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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.