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Finding the Third Proportional to 378,081 and 818,226

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Solution

The third proportional to 378,081 and 818,226 is: 1,770,768.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,081 : 818,226 = 818,226 : x
  2. Step 2: Convert to fraction form
    378,081/818,226 = 818,226/x
  3. Step 3: Cross multiply
    378,081x = 818,226 × 818,226
  4. Step 4: Simplify right side
    378,081x = 669,493,787,076
  5. Step 5: Solve for x
    x = 669,493,787,076/378,081
  6. Step 6: Final answer
    x = 1,770,768.13

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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.