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Finding the Third Proportional to 370.88 and 422.75

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Solution

The third proportional to 370.88 and 422.75 is: 481.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.88 : 422.75 = 422.75 : x
  2. Step 2: Convert to fraction form
    370.88/422.75 = 422.75/x
  3. Step 3: Cross multiply
    370.88x = 422.75 × 422.75
  4. Step 4: Simplify right side
    370.88x = 178,717.56
  5. Step 5: Solve for x
    x = 178,717.56/370.88
  6. Step 6: Final answer
    x = 481.88

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.