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Finding the Third Proportional to 211,962 and 320,103

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Solution

The third proportional to 211,962 and 320,103 is: 483,416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,962 : 320,103 = 320,103 : x
  2. Step 2: Convert to fraction form
    211,962/320,103 = 320,103/x
  3. Step 3: Cross multiply
    211,962x = 320,103 × 320,103
  4. Step 4: Simplify right side
    211,962x = 102,465,930,609
  5. Step 5: Solve for x
    x = 102,465,930,609/211,962
  6. Step 6: Final answer
    x = 483,416.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.