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Finding the Third Proportional to 379,086 and 816,924

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Solution

The third proportional to 379,086 and 816,924 is: 1,760,457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,086 : 816,924 = 816,924 : x
  2. Step 2: Convert to fraction form
    379,086/816,924 = 816,924/x
  3. Step 3: Cross multiply
    379,086x = 816,924 × 816,924
  4. Step 4: Simplify right side
    379,086x = 667,364,821,776
  5. Step 5: Solve for x
    x = 667,364,821,776/379,086
  6. Step 6: Final answer
    x = 1,760,457.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.