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Finding the Third Proportional to 211,771 and 318,131

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Solution

The third proportional to 211,771 and 318,131 is: 477,909.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,771 : 318,131 = 318,131 : x
  2. Step 2: Convert to fraction form
    211,771/318,131 = 318,131/x
  3. Step 3: Cross multiply
    211,771x = 318,131 × 318,131
  4. Step 4: Simplify right side
    211,771x = 101,207,333,161
  5. Step 5: Solve for x
    x = 101,207,333,161/211,771
  6. Step 6: Final answer
    x = 477,909.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.