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Finding the Third Proportional to 378 and 520.31

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Solution

The third proportional to 378 and 520.31 is: 716.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378 : 520.31 = 520.31 : x
  2. Step 2: Convert to fraction form
    378/520.31 = 520.31/x
  3. Step 3: Cross multiply
    378x = 520.31 × 520.31
  4. Step 4: Simplify right side
    378x = 270,725.10
  5. Step 5: Solve for x
    x = 270,725.10/378
  6. Step 6: Final answer
    x = 716.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.