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Finding the Third Proportional to 99,921 and 214,665

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Solution

The third proportional to 99,921 and 214,665 is: 461,174.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,921 : 214,665 = 214,665 : x
  2. Step 2: Convert to fraction form
    99,921/214,665 = 214,665/x
  3. Step 3: Cross multiply
    99,921x = 214,665 × 214,665
  4. Step 4: Simplify right side
    99,921x = 46,081,062,225
  5. Step 5: Solve for x
    x = 46,081,062,225/99,921
  6. Step 6: Final answer
    x = 461,174.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.