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Finding the Third Proportional to 161,800 and 336,512

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Solution

The third proportional to 161,800 and 336,512 is: 699,878.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,800 : 336,512 = 336,512 : x
  2. Step 2: Convert to fraction form
    161,800/336,512 = 336,512/x
  3. Step 3: Cross multiply
    161,800x = 336,512 × 336,512
  4. Step 4: Simplify right side
    161,800x = 113,240,326,144
  5. Step 5: Solve for x
    x = 113,240,326,144/161,800
  6. Step 6: Final answer
    x = 699,878.41

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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.