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Finding the Third Proportional to 334.13 and 439.31

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Solution

The third proportional to 334.13 and 439.31 is: 577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.13 : 439.31 = 439.31 : x
  2. Step 2: Convert to fraction form
    334.13/439.31 = 439.31/x
  3. Step 3: Cross multiply
    334.13x = 439.31 × 439.31
  4. Step 4: Simplify right side
    334.13x = 192,995.47
  5. Step 5: Solve for x
    x = 192,995.47/334.13
  6. Step 6: Final answer
    x = 577.61

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.