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Finding the Third Proportional to 211,758.75 and 318,108

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Solution

The third proportional to 211,758.75 and 318,108 is: 477,867.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,758.75 : 318,108 = 318,108 : x
  2. Step 2: Convert to fraction form
    211,758.75/318,108 = 318,108/x
  3. Step 3: Cross multiply
    211,758.75x = 318,108 × 318,108
  4. Step 4: Simplify right side
    211,758.75x = 101,192,699,664
  5. Step 5: Solve for x
    x = 101,192,699,664/211,758.75
  6. Step 6: Final answer
    x = 477,867.86

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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.