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Finding the Third Proportional to 378.19 and 520.78

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Solution

The third proportional to 378.19 and 520.78 is: 717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.19 : 520.78 = 520.78 : x
  2. Step 2: Convert to fraction form
    378.19/520.78 = 520.78/x
  3. Step 3: Cross multiply
    378.19x = 520.78 × 520.78
  4. Step 4: Simplify right side
    378.19x = 271,213.11
  5. Step 5: Solve for x
    x = 271,213.11/378.19
  6. Step 6: Final answer
    x = 717.14

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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.