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Finding the Third Proportional to 351.21 and 776.46

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Solution

The third proportional to 351.21 and 776.46 is: 1,716.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.21 : 776.46 = 776.46 : x
  2. Step 2: Convert to fraction form
    351.21/776.46 = 776.46/x
  3. Step 3: Cross multiply
    351.21x = 776.46 × 776.46
  4. Step 4: Simplify right side
    351.21x = 602,891.59
  5. Step 5: Solve for x
    x = 602,891.59/351.21
  6. Step 6: Final answer
    x = 1,716.61

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.