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Finding the Third Proportional to 371,121 and 827,238

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Solution

The third proportional to 371,121 and 827,238 is: 1,843,934.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,121 : 827,238 = 827,238 : x
  2. Step 2: Convert to fraction form
    371,121/827,238 = 827,238/x
  3. Step 3: Cross multiply
    371,121x = 827,238 × 827,238
  4. Step 4: Simplify right side
    371,121x = 684,322,708,644
  5. Step 5: Solve for x
    x = 684,322,708,644/371,121
  6. Step 6: Final answer
    x = 1,843,934.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.