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Finding the Third Proportional to 378,168 and 797,646

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Solution

The third proportional to 378,168 and 797,646 is: 1,682,424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,168 : 797,646 = 797,646 : x
  2. Step 2: Convert to fraction form
    378,168/797,646 = 797,646/x
  3. Step 3: Cross multiply
    378,168x = 797,646 × 797,646
  4. Step 4: Simplify right side
    378,168x = 636,239,141,316
  5. Step 5: Solve for x
    x = 636,239,141,316/378,168
  6. Step 6: Final answer
    x = 1,682,424.59

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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.