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Finding the Third Proportional to 105,909 and 228,089

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Solution

The third proportional to 105,909 and 228,089 is: 491,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,909 : 228,089 = 228,089 : x
  2. Step 2: Convert to fraction form
    105,909/228,089 = 228,089/x
  3. Step 3: Cross multiply
    105,909x = 228,089 × 228,089
  4. Step 4: Simplify right side
    105,909x = 52,024,591,921
  5. Step 5: Solve for x
    x = 52,024,591,921/105,909
  6. Step 6: Final answer
    x = 491,219.74

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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.