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Finding the Third Proportional to 378.20 and 433.20

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Solution

The third proportional to 378.20 and 433.20 is: 496.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.20 : 433.20 = 433.20 : x
  2. Step 2: Convert to fraction form
    378.20/433.20 = 433.20/x
  3. Step 3: Cross multiply
    378.20x = 433.20 × 433.20
  4. Step 4: Simplify right side
    378.20x = 187,661.99
  5. Step 5: Solve for x
    x = 187,661.99/378.20
  6. Step 6: Final answer
    x = 496.19

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.