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Finding the Third Proportional to 299.57 and 638.96

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Solution

The third proportional to 299.57 and 638.96 is: 1,362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.57 : 638.96 = 638.96 : x
  2. Step 2: Convert to fraction form
    299.57/638.96 = 638.96/x
  3. Step 3: Cross multiply
    299.57x = 638.96 × 638.96
  4. Step 4: Simplify right side
    299.57x = 408,276.07
  5. Step 5: Solve for x
    x = 408,276.07/299.57
  6. Step 6: Final answer
    x = 1,362.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.