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Finding the Third Proportional to 351.21 and 746.09

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Solution

The third proportional to 351.21 and 746.09 is: 1,584.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.21 : 746.09 = 746.09 : x
  2. Step 2: Convert to fraction form
    351.21/746.09 = 746.09/x
  3. Step 3: Cross multiply
    351.21x = 746.09 × 746.09
  4. Step 4: Simplify right side
    351.21x = 556,644.23
  5. Step 5: Solve for x
    x = 556,644.23/351.21
  6. Step 6: Final answer
    x = 1,584.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.