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Finding the Third Proportional to 270.38 and 637.97

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Solution

The third proportional to 270.38 and 637.97 is: 1,505.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.38 : 637.97 = 637.97 : x
  2. Step 2: Convert to fraction form
    270.38/637.97 = 637.97/x
  3. Step 3: Cross multiply
    270.38x = 637.97 × 637.97
  4. Step 4: Simplify right side
    270.38x = 407,004.13
  5. Step 5: Solve for x
    x = 407,004.13/270.38
  6. Step 6: Final answer
    x = 1,505.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.