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Finding the Third Proportional to 85,744 and 177,956

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Solution

The third proportional to 85,744 and 177,956 is: 369,335.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,744 : 177,956 = 177,956 : x
  2. Step 2: Convert to fraction form
    85,744/177,956 = 177,956/x
  3. Step 3: Cross multiply
    85,744x = 177,956 × 177,956
  4. Step 4: Simplify right side
    85,744x = 31,668,337,936
  5. Step 5: Solve for x
    x = 31,668,337,936/85,744
  6. Step 6: Final answer
    x = 369,335.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.