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Finding the Third Proportional to 90,066 and 135,147

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Solution

The third proportional to 90,066 and 135,147 is: 202,792.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,066 : 135,147 = 135,147 : x
  2. Step 2: Convert to fraction form
    90,066/135,147 = 135,147/x
  3. Step 3: Cross multiply
    90,066x = 135,147 × 135,147
  4. Step 4: Simplify right side
    90,066x = 18,264,711,609
  5. Step 5: Solve for x
    x = 18,264,711,609/90,066
  6. Step 6: Final answer
    x = 202,792.53

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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.