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Finding the Third Proportional to 378,092 and 818,248

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Solution

The third proportional to 378,092 and 818,248 is: 1,770,811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,092 : 818,248 = 818,248 : x
  2. Step 2: Convert to fraction form
    378,092/818,248 = 818,248/x
  3. Step 3: Cross multiply
    378,092x = 818,248 × 818,248
  4. Step 4: Simplify right side
    378,092x = 669,529,789,504
  5. Step 5: Solve for x
    x = 669,529,789,504/378,092
  6. Step 6: Final answer
    x = 1,770,811.84

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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.