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Finding the Third Proportional to 90,157 and 135,249

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Solution

The third proportional to 90,157 and 135,249 is: 202,893.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,157 : 135,249 = 135,249 : x
  2. Step 2: Convert to fraction form
    90,157/135,249 = 135,249/x
  3. Step 3: Cross multiply
    90,157x = 135,249 × 135,249
  4. Step 4: Simplify right side
    90,157x = 18,292,292,001
  5. Step 5: Solve for x
    x = 18,292,292,001/90,157
  6. Step 6: Final answer
    x = 202,893.75

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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.