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Finding the Third Proportional to 81,876 and 177,576

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Solution

The third proportional to 81,876 and 177,576 is: 385,134.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,876 : 177,576 = 177,576 : x
  2. Step 2: Convert to fraction form
    81,876/177,576 = 177,576/x
  3. Step 3: Cross multiply
    81,876x = 177,576 × 177,576
  4. Step 4: Simplify right side
    81,876x = 31,533,235,776
  5. Step 5: Solve for x
    x = 31,533,235,776/81,876
  6. Step 6: Final answer
    x = 385,134.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.