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Finding the Third Proportional to 377,815 and 798,272

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Solution

The third proportional to 377,815 and 798,272 is: 1,686,640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,815 : 798,272 = 798,272 : x
  2. Step 2: Convert to fraction form
    377,815/798,272 = 798,272/x
  3. Step 3: Cross multiply
    377,815x = 798,272 × 798,272
  4. Step 4: Simplify right side
    377,815x = 637,238,185,984
  5. Step 5: Solve for x
    x = 637,238,185,984/377,815
  6. Step 6: Final answer
    x = 1,686,640.78

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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.