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Finding the Third Proportional to 339.19 and 584.81

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Solution

The third proportional to 339.19 and 584.81 is: 1,008.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.19 : 584.81 = 584.81 : x
  2. Step 2: Convert to fraction form
    339.19/584.81 = 584.81/x
  3. Step 3: Cross multiply
    339.19x = 584.81 × 584.81
  4. Step 4: Simplify right side
    339.19x = 342,005.66
  5. Step 5: Solve for x
    x = 342,005.66/339.19
  6. Step 6: Final answer
    x = 1,008.31

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.