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Finding the Third Proportional to 215,898 and 301,909

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Solution

The third proportional to 215,898 and 301,909 is: 422,185.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,898 : 301,909 = 301,909 : x
  2. Step 2: Convert to fraction form
    215,898/301,909 = 301,909/x
  3. Step 3: Cross multiply
    215,898x = 301,909 × 301,909
  4. Step 4: Simplify right side
    215,898x = 91,149,044,281
  5. Step 5: Solve for x
    x = 91,149,044,281/215,898
  6. Step 6: Final answer
    x = 422,185.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.