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Finding the Third Proportional to 380,065 and 826,285

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Solution

The third proportional to 380,065 and 826,285 is: 1,796,395.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,065 : 826,285 = 826,285 : x
  2. Step 2: Convert to fraction form
    380,065/826,285 = 826,285/x
  3. Step 3: Cross multiply
    380,065x = 826,285 × 826,285
  4. Step 4: Simplify right side
    380,065x = 682,746,901,225
  5. Step 5: Solve for x
    x = 682,746,901,225/380,065
  6. Step 6: Final answer
    x = 1,796,395.09

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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.