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Finding the Third Proportional to 381,768 and 829,152

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Solution

The third proportional to 381,768 and 829,152 is: 1,800,813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,768 : 829,152 = 829,152 : x
  2. Step 2: Convert to fraction form
    381,768/829,152 = 829,152/x
  3. Step 3: Cross multiply
    381,768x = 829,152 × 829,152
  4. Step 4: Simplify right side
    381,768x = 687,493,039,104
  5. Step 5: Solve for x
    x = 687,493,039,104/381,768
  6. Step 6: Final answer
    x = 1,800,813.69

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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.