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Finding the Third Proportional to 211,759 and 318,110

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Solution

The third proportional to 211,759 and 318,110 is: 477,873.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,759 : 318,110 = 318,110 : x
  2. Step 2: Convert to fraction form
    211,759/318,110 = 318,110/x
  3. Step 3: Cross multiply
    211,759x = 318,110 × 318,110
  4. Step 4: Simplify right side
    211,759x = 101,193,972,100
  5. Step 5: Solve for x
    x = 101,193,972,100/211,759
  6. Step 6: Final answer
    x = 477,873.30

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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.