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Finding the Third Proportional to 381.38 and 774.14

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Solution

The third proportional to 381.38 and 774.14 is: 1,571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.38 : 774.14 = 774.14 : x
  2. Step 2: Convert to fraction form
    381.38/774.14 = 774.14/x
  3. Step 3: Cross multiply
    381.38x = 774.14 × 774.14
  4. Step 4: Simplify right side
    381.38x = 599,293.71
  5. Step 5: Solve for x
    x = 599,293.71/381.38
  6. Step 6: Final answer
    x = 1,571.40

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.