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Finding the Third Proportional to 379.75 and 431.38

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Solution

The third proportional to 379.75 and 431.38 is: 490.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.75 : 431.38 = 431.38 : x
  2. Step 2: Convert to fraction form
    379.75/431.38 = 431.38/x
  3. Step 3: Cross multiply
    379.75x = 431.38 × 431.38
  4. Step 4: Simplify right side
    379.75x = 186,084.39
  5. Step 5: Solve for x
    x = 186,084.39/379.75
  6. Step 6: Final answer
    x = 490.02

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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.