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Finding the Third Proportional to 331.07 and 769.87

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Solution

The third proportional to 331.07 and 769.87 is: 1,790.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.07 : 769.87 = 769.87 : x
  2. Step 2: Convert to fraction form
    331.07/769.87 = 769.87/x
  3. Step 3: Cross multiply
    331.07x = 769.87 × 769.87
  4. Step 4: Simplify right side
    331.07x = 592,698.49
  5. Step 5: Solve for x
    x = 592,698.49/331.07
  6. Step 6: Final answer
    x = 1,790.27

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.