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Finding the Third Proportional to 331.06 and 706.09

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Solution

The third proportional to 331.06 and 706.09 is: 1,505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.06 : 706.09 = 706.09 : x
  2. Step 2: Convert to fraction form
    331.06/706.09 = 706.09/x
  3. Step 3: Cross multiply
    331.06x = 706.09 × 706.09
  4. Step 4: Simplify right side
    331.06x = 498,568.38
  5. Step 5: Solve for x
    x = 498,568.38/331.06
  6. Step 6: Final answer
    x = 1,505.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.