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Finding the Third Proportional to 213,696 and 330,873

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Solution

The third proportional to 213,696 and 330,873 is: 512,302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,696 : 330,873 = 330,873 : x
  2. Step 2: Convert to fraction form
    213,696/330,873 = 330,873/x
  3. Step 3: Cross multiply
    213,696x = 330,873 × 330,873
  4. Step 4: Simplify right side
    213,696x = 109,476,942,129
  5. Step 5: Solve for x
    x = 109,476,942,129/213,696
  6. Step 6: Final answer
    x = 512,302.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.