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Finding the Third Proportional to 213,960 and 331,122

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Solution

The third proportional to 213,960 and 331,122 is: 512,440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,960 : 331,122 = 331,122 : x
  2. Step 2: Convert to fraction form
    213,960/331,122 = 331,122/x
  3. Step 3: Cross multiply
    213,960x = 331,122 × 331,122
  4. Step 4: Simplify right side
    213,960x = 109,641,778,884
  5. Step 5: Solve for x
    x = 109,641,778,884/213,960
  6. Step 6: Final answer
    x = 512,440.54

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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.