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Finding the Third Proportional to 120,177 and 188,515

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Solution

The third proportional to 120,177 and 188,515 is: 295,713.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,177 : 188,515 = 188,515 : x
  2. Step 2: Convert to fraction form
    120,177/188,515 = 188,515/x
  3. Step 3: Cross multiply
    120,177x = 188,515 × 188,515
  4. Step 4: Simplify right side
    120,177x = 35,537,905,225
  5. Step 5: Solve for x
    x = 35,537,905,225/120,177
  6. Step 6: Final answer
    x = 295,713.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.