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Finding the Third Proportional to 162,858 and 343,212

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Solution

The third proportional to 162,858 and 343,212 is: 723,295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,858 : 343,212 = 343,212 : x
  2. Step 2: Convert to fraction form
    162,858/343,212 = 343,212/x
  3. Step 3: Cross multiply
    162,858x = 343,212 × 343,212
  4. Step 4: Simplify right side
    162,858x = 117,794,476,944
  5. Step 5: Solve for x
    x = 117,794,476,944/162,858
  6. Step 6: Final answer
    x = 723,295.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.