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Finding the Third Proportional to 641.04 and 908.09

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Solution

The third proportional to 641.04 and 908.09 is: 1,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.04 : 908.09 = 908.09 : x
  2. Step 2: Convert to fraction form
    641.04/908.09 = 908.09/x
  3. Step 3: Cross multiply
    641.04x = 908.09 × 908.09
  4. Step 4: Simplify right side
    641.04x = 824,620.07
  5. Step 5: Solve for x
    x = 824,620.07/641.04
  6. Step 6: Final answer
    x = 1,286.38

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.