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Finding the Third Proportional to 89,909 and 135,094

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Solution

The third proportional to 89,909 and 135,094 is: 202,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,909 : 135,094 = 135,094 : x
  2. Step 2: Convert to fraction form
    89,909/135,094 = 135,094/x
  3. Step 3: Cross multiply
    89,909x = 135,094 × 135,094
  4. Step 4: Simplify right side
    89,909x = 18,250,388,836
  5. Step 5: Solve for x
    x = 18,250,388,836/89,909
  6. Step 6: Final answer
    x = 202,987.34

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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.