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Finding the Third Proportional to 381,576 and 828,764

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Solution

The third proportional to 381,576 and 828,764 is: 1,800,033.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,576 : 828,764 = 828,764 : x
  2. Step 2: Convert to fraction form
    381,576/828,764 = 828,764/x
  3. Step 3: Cross multiply
    381,576x = 828,764 × 828,764
  4. Step 4: Simplify right side
    381,576x = 686,849,767,696
  5. Step 5: Solve for x
    x = 686,849,767,696/381,576
  6. Step 6: Final answer
    x = 1,800,033.98

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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.