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Finding the Third Proportional to 641.11 and 906.96

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Solution

The third proportional to 641.11 and 906.96 is: 1,283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.11 : 906.96 = 906.96 : x
  2. Step 2: Convert to fraction form
    641.11/906.96 = 906.96/x
  3. Step 3: Cross multiply
    641.11x = 906.96 × 906.96
  4. Step 4: Simplify right side
    641.11x = 822,578.14
  5. Step 5: Solve for x
    x = 822,578.14/641.11
  6. Step 6: Final answer
    x = 1,283.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.