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Finding the Third Proportional to 379,017 and 816,786

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Solution

The third proportional to 379,017 and 816,786 is: 1,760,183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,017 : 816,786 = 816,786 : x
  2. Step 2: Convert to fraction form
    379,017/816,786 = 816,786/x
  3. Step 3: Cross multiply
    379,017x = 816,786 × 816,786
  4. Step 4: Simplify right side
    379,017x = 667,139,369,796
  5. Step 5: Solve for x
    x = 667,139,369,796/379,017
  6. Step 6: Final answer
    x = 1,760,183.24

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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.