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Finding the Third Proportional to 299.25 and 634.73

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Solution

The third proportional to 299.25 and 634.73 is: 1,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.25 : 634.73 = 634.73 : x
  2. Step 2: Convert to fraction form
    299.25/634.73 = 634.73/x
  3. Step 3: Cross multiply
    299.25x = 634.73 × 634.73
  4. Step 4: Simplify right side
    299.25x = 402,887.73
  5. Step 5: Solve for x
    x = 402,887.73/299.25
  6. Step 6: Final answer
    x = 1,346.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.