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Finding the Third Proportional to 81,956 and 177,034

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Solution

The third proportional to 81,956 and 177,034 is: 382,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,956 : 177,034 = 177,034 : x
  2. Step 2: Convert to fraction form
    81,956/177,034 = 177,034/x
  3. Step 3: Cross multiply
    81,956x = 177,034 × 177,034
  4. Step 4: Simplify right side
    81,956x = 31,341,037,156
  5. Step 5: Solve for x
    x = 31,341,037,156/81,956
  6. Step 6: Final answer
    x = 382,412.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.