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Finding the Third Proportional to 180,800 and 276,576

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Solution

The third proportional to 180,800 and 276,576 is: 423,087.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,800 : 276,576 = 276,576 : x
  2. Step 2: Convert to fraction form
    180,800/276,576 = 276,576/x
  3. Step 3: Cross multiply
    180,800x = 276,576 × 276,576
  4. Step 4: Simplify right side
    180,800x = 76,494,283,776
  5. Step 5: Solve for x
    x = 76,494,283,776/180,800
  6. Step 6: Final answer
    x = 423,087.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.