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Finding the Third Proportional to 416 and 635

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Solution

The third proportional to 416 and 635 is: 969.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    416 : 635 = 635 : x
  2. Step 2: Convert to fraction form
    416/635 = 635/x
  3. Step 3: Cross multiply
    416x = 635 × 635
  4. Step 4: Simplify right side
    416x = 403,225
  5. Step 5: Solve for x
    x = 403,225/416
  6. Step 6: Final answer
    x = 969.29

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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.