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Finding the Third Proportional to 100,914 and 214,782

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Solution

The third proportional to 100,914 and 214,782 is: 457,134.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,914 : 214,782 = 214,782 : x
  2. Step 2: Convert to fraction form
    100,914/214,782 = 214,782/x
  3. Step 3: Cross multiply
    100,914x = 214,782 × 214,782
  4. Step 4: Simplify right side
    100,914x = 46,131,307,524
  5. Step 5: Solve for x
    x = 46,131,307,524/100,914
  6. Step 6: Final answer
    x = 457,134.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.