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Finding the Third Proportional to 377,828 and 798,298

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Solution

The third proportional to 377,828 and 798,298 is: 1,686,692.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,828 : 798,298 = 798,298 : x
  2. Step 2: Convert to fraction form
    377,828/798,298 = 798,298/x
  3. Step 3: Cross multiply
    377,828x = 798,298 × 798,298
  4. Step 4: Simplify right side
    377,828x = 637,279,696,804
  5. Step 5: Solve for x
    x = 637,279,696,804/377,828
  6. Step 6: Final answer
    x = 1,686,692.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.