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Finding the Third Proportional to 299.75 and 657.25

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Solution

The third proportional to 299.75 and 657.25 is: 1,441.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.75 : 657.25 = 657.25 : x
  2. Step 2: Convert to fraction form
    299.75/657.25 = 657.25/x
  3. Step 3: Cross multiply
    299.75x = 657.25 × 657.25
  4. Step 4: Simplify right side
    299.75x = 431,977.56
  5. Step 5: Solve for x
    x = 431,977.56/299.75
  6. Step 6: Final answer
    x = 1,441.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.