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Finding the Third Proportional to 378,159 and 797,628

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Solution

The third proportional to 378,159 and 797,628 is: 1,682,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,159 : 797,628 = 797,628 : x
  2. Step 2: Convert to fraction form
    378,159/797,628 = 797,628/x
  3. Step 3: Cross multiply
    378,159x = 797,628 × 797,628
  4. Step 4: Simplify right side
    378,159x = 636,210,426,384
  5. Step 5: Solve for x
    x = 636,210,426,384/378,159
  6. Step 6: Final answer
    x = 1,682,388.69

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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.