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Finding the Third Proportional to 392,224 and 856,378

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Solution

The third proportional to 392,224 and 856,378 is: 1,869,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,224 : 856,378 = 856,378 : x
  2. Step 2: Convert to fraction form
    392,224/856,378 = 856,378/x
  3. Step 3: Cross multiply
    392,224x = 856,378 × 856,378
  4. Step 4: Simplify right side
    392,224x = 733,383,278,884
  5. Step 5: Solve for x
    x = 733,383,278,884/392,224
  6. Step 6: Final answer
    x = 1,869,807.25

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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.