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Finding the Third Proportional to 105,867 and 177,957

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Solution

The third proportional to 105,867 and 177,957 is: 299,136.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,867 : 177,957 = 177,957 : x
  2. Step 2: Convert to fraction form
    105,867/177,957 = 177,957/x
  3. Step 3: Cross multiply
    105,867x = 177,957 × 177,957
  4. Step 4: Simplify right side
    105,867x = 31,668,693,849
  5. Step 5: Solve for x
    x = 31,668,693,849/105,867
  6. Step 6: Final answer
    x = 299,136.59

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.