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Finding the Third Proportional to 427.31 and 641.06

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Solution

The third proportional to 427.31 and 641.06 is: 961.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.31 : 641.06 = 641.06 : x
  2. Step 2: Convert to fraction form
    427.31/641.06 = 641.06/x
  3. Step 3: Cross multiply
    427.31x = 641.06 × 641.06
  4. Step 4: Simplify right side
    427.31x = 410,961.13
  5. Step 5: Solve for x
    x = 410,961.13/427.31
  6. Step 6: Final answer
    x = 961.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.