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Finding the Third Proportional to 190.03 and 415.78

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Solution

The third proportional to 190.03 and 415.78 is: 909.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.03 : 415.78 = 415.78 : x
  2. Step 2: Convert to fraction form
    190.03/415.78 = 415.78/x
  3. Step 3: Cross multiply
    190.03x = 415.78 × 415.78
  4. Step 4: Simplify right side
    190.03x = 172,874.05
  5. Step 5: Solve for x
    x = 172,874.05/190.03
  6. Step 6: Final answer
    x = 909.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.