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Finding the Third Proportional to 378,819 and 816,678

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Solution

The third proportional to 378,819 and 816,678 is: 1,760,637.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,819 : 816,678 = 816,678 : x
  2. Step 2: Convert to fraction form
    378,819/816,678 = 816,678/x
  3. Step 3: Cross multiply
    378,819x = 816,678 × 816,678
  4. Step 4: Simplify right side
    378,819x = 666,962,955,684
  5. Step 5: Solve for x
    x = 666,962,955,684/378,819
  6. Step 6: Final answer
    x = 1,760,637.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.