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Finding the Third Proportional to 381.16 and 909.14

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Solution

The third proportional to 381.16 and 909.14 is: 2,168.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.16 : 909.14 = 909.14 : x
  2. Step 2: Convert to fraction form
    381.16/909.14 = 909.14/x
  3. Step 3: Cross multiply
    381.16x = 909.14 × 909.14
  4. Step 4: Simplify right side
    381.16x = 826,536.68
  5. Step 5: Solve for x
    x = 826,536.68/381.16
  6. Step 6: Final answer
    x = 2,168.45

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.