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Finding the Third Proportional to 299.00 and 633.60

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Solution

The third proportional to 299.00 and 633.60 is: 1,342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.00 : 633.60 = 633.60 : x
  2. Step 2: Convert to fraction form
    299.00/633.60 = 633.60/x
  3. Step 3: Cross multiply
    299.00x = 633.60 × 633.60
  4. Step 4: Simplify right side
    299.00x = 401,453.42
  5. Step 5: Solve for x
    x = 401,453.42/299.00
  6. Step 6: Final answer
    x = 1,342.64

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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.