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Finding the Third Proportional to 91,242 and 136,489.50

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Solution

The third proportional to 91,242 and 136,489.50 is: 204,175.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,242 : 136,489.50 = 136,489.50 : x
  2. Step 2: Convert to fraction form
    91,242/136,489.50 = 136,489.50/x
  3. Step 3: Cross multiply
    91,242x = 136,489.50 × 136,489.50
  4. Step 4: Simplify right side
    91,242x = 18,629,383,610.25
  5. Step 5: Solve for x
    x = 18,629,383,610.25/91,242
  6. Step 6: Final answer
    x = 204,175.53

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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.