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Finding the Third Proportional to 402.89 and 764.44

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Solution

The third proportional to 402.89 and 764.44 is: 1,450.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.89 : 764.44 = 764.44 : x
  2. Step 2: Convert to fraction form
    402.89/764.44 = 764.44/x
  3. Step 3: Cross multiply
    402.89x = 764.44 × 764.44
  4. Step 4: Simplify right side
    402.89x = 584,364.69
  5. Step 5: Solve for x
    x = 584,364.69/402.89
  6. Step 6: Final answer
    x = 1,450.43

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.