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Finding the Third Proportional to 334.31 and 677.91

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Solution

The third proportional to 334.31 and 677.91 is: 1,374.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.31 : 677.91 = 677.91 : x
  2. Step 2: Convert to fraction form
    334.31/677.91 = 677.91/x
  3. Step 3: Cross multiply
    334.31x = 677.91 × 677.91
  4. Step 4: Simplify right side
    334.31x = 459,556.88
  5. Step 5: Solve for x
    x = 459,556.88/334.31
  6. Step 6: Final answer
    x = 1,374.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.