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Finding the Third Proportional to 404.75 and 634.19

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Solution

The third proportional to 404.75 and 634.19 is: 993.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.75 : 634.19 = 634.19 : x
  2. Step 2: Convert to fraction form
    404.75/634.19 = 634.19/x
  3. Step 3: Cross multiply
    404.75x = 634.19 × 634.19
  4. Step 4: Simplify right side
    404.75x = 402,193.79
  5. Step 5: Solve for x
    x = 402,193.79/404.75
  6. Step 6: Final answer
    x = 993.68

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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.