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Finding the Third Proportional to 76,832 and 177,804

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Solution

The third proportional to 76,832 and 177,804 is: 411,472.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,832 : 177,804 = 177,804 : x
  2. Step 2: Convert to fraction form
    76,832/177,804 = 177,804/x
  3. Step 3: Cross multiply
    76,832x = 177,804 × 177,804
  4. Step 4: Simplify right side
    76,832x = 31,614,262,416
  5. Step 5: Solve for x
    x = 31,614,262,416/76,832
  6. Step 6: Final answer
    x = 411,472.59

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.