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Finding the Third Proportional to 66,086 and 99,149

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Solution

The third proportional to 66,086 and 99,149 is: 148,753.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,086 : 99,149 = 99,149 : x
  2. Step 2: Convert to fraction form
    66,086/99,149 = 99,149/x
  3. Step 3: Cross multiply
    66,086x = 99,149 × 99,149
  4. Step 4: Simplify right side
    66,086x = 9,830,524,201
  5. Step 5: Solve for x
    x = 9,830,524,201/66,086
  6. Step 6: Final answer
    x = 148,753.51

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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.