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Finding the Third Proportional to 411.84 and 629.91

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Solution

The third proportional to 411.84 and 629.91 is: 963.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.84 : 629.91 = 629.91 : x
  2. Step 2: Convert to fraction form
    411.84/629.91 = 629.91/x
  3. Step 3: Cross multiply
    411.84x = 629.91 × 629.91
  4. Step 4: Simplify right side
    411.84x = 396,781.88
  5. Step 5: Solve for x
    x = 396,781.88/411.84
  6. Step 6: Final answer
    x = 963.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.