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Finding the Third Proportional to 162.94 and 339.31

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Solution

The third proportional to 162.94 and 339.31 is: 706.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.94 : 339.31 = 339.31 : x
  2. Step 2: Convert to fraction form
    162.94/339.31 = 339.31/x
  3. Step 3: Cross multiply
    162.94x = 339.31 × 339.31
  4. Step 4: Simplify right side
    162.94x = 115,132.97
  5. Step 5: Solve for x
    x = 115,132.97/162.94
  6. Step 6: Final answer
    x = 706.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.