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Finding the Third Proportional to 439.69 and 636.94

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Solution

The third proportional to 439.69 and 636.94 is: 922.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.69 : 636.94 = 636.94 : x
  2. Step 2: Convert to fraction form
    439.69/636.94 = 636.94/x
  3. Step 3: Cross multiply
    439.69x = 636.94 × 636.94
  4. Step 4: Simplify right side
    439.69x = 405,689.38
  5. Step 5: Solve for x
    x = 405,689.38/439.69
  6. Step 6: Final answer
    x = 922.68

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.