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Finding the Third Proportional to 387,381 and 843,378

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Solution

The third proportional to 387,381 and 843,378 is: 1,836,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,381 : 843,378 = 843,378 : x
  2. Step 2: Convert to fraction form
    387,381/843,378 = 843,378/x
  3. Step 3: Cross multiply
    387,381x = 843,378 × 843,378
  4. Step 4: Simplify right side
    387,381x = 711,286,450,884
  5. Step 5: Solve for x
    x = 711,286,450,884/387,381
  6. Step 6: Final answer
    x = 1,836,141.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.