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Finding the Third Proportional to 394,740 and 856,548

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Solution

The third proportional to 394,740 and 856,548 is: 1,858,627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,740 : 856,548 = 856,548 : x
  2. Step 2: Convert to fraction form
    394,740/856,548 = 856,548/x
  3. Step 3: Cross multiply
    394,740x = 856,548 × 856,548
  4. Step 4: Simplify right side
    394,740x = 733,674,476,304
  5. Step 5: Solve for x
    x = 733,674,476,304/394,740
  6. Step 6: Final answer
    x = 1,858,627.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.