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Finding the Third Proportional to 422,846 and 880,576

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Solution

The third proportional to 422,846 and 880,576 is: 1,833,797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,846 : 880,576 = 880,576 : x
  2. Step 2: Convert to fraction form
    422,846/880,576 = 880,576/x
  3. Step 3: Cross multiply
    422,846x = 880,576 × 880,576
  4. Step 4: Simplify right side
    422,846x = 775,414,091,776
  5. Step 5: Solve for x
    x = 775,414,091,776/422,846
  6. Step 6: Final answer
    x = 1,833,797.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.