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Finding the Third Proportional to 355.97 and 637.69

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Solution

The third proportional to 355.97 and 637.69 is: 1,142.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.97 : 637.69 = 637.69 : x
  2. Step 2: Convert to fraction form
    355.97/637.69 = 637.69/x
  3. Step 3: Cross multiply
    355.97x = 637.69 × 637.69
  4. Step 4: Simplify right side
    355.97x = 406,645.35
  5. Step 5: Solve for x
    x = 406,645.35/355.97
  6. Step 6: Final answer
    x = 1,142.36

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.