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Finding the Third Proportional to 406.88 and 636.94

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Solution

The third proportional to 406.88 and 636.94 is: 997.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.88 : 636.94 = 636.94 : x
  2. Step 2: Convert to fraction form
    406.88/636.94 = 636.94/x
  3. Step 3: Cross multiply
    406.88x = 636.94 × 636.94
  4. Step 4: Simplify right side
    406.88x = 405,689.38
  5. Step 5: Solve for x
    x = 405,689.38/406.88
  6. Step 6: Final answer
    x = 997.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.