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Finding the Third Proportional to 109,242 and 149,505

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Solution

The third proportional to 109,242 and 149,505 is: 204,607.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,242 : 149,505 = 149,505 : x
  2. Step 2: Convert to fraction form
    109,242/149,505 = 149,505/x
  3. Step 3: Cross multiply
    109,242x = 149,505 × 149,505
  4. Step 4: Simplify right side
    109,242x = 22,351,745,025
  5. Step 5: Solve for x
    x = 22,351,745,025/109,242
  6. Step 6: Final answer
    x = 204,607.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.