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Finding the Third Proportional to 392.28 and 846.44

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Solution

The third proportional to 392.28 and 846.44 is: 1,826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.28 : 846.44 = 846.44 : x
  2. Step 2: Convert to fraction form
    392.28/846.44 = 846.44/x
  3. Step 3: Cross multiply
    392.28x = 846.44 × 846.44
  4. Step 4: Simplify right side
    392.28x = 716,456.44
  5. Step 5: Solve for x
    x = 716,456.44/392.28
  6. Step 6: Final answer
    x = 1,826.38

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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.