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Finding the Third Proportional to 355.78 and 419.91

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Solution

The third proportional to 355.78 and 419.91 is: 495.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.78 : 419.91 = 419.91 : x
  2. Step 2: Convert to fraction form
    355.78/419.91 = 419.91/x
  3. Step 3: Cross multiply
    355.78x = 419.91 × 419.91
  4. Step 4: Simplify right side
    355.78x = 176,321.26
  5. Step 5: Solve for x
    x = 176,321.26/355.78
  6. Step 6: Final answer
    x = 495.59

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.