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Finding the Third Proportional to 114,775 and 178,149

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Solution

The third proportional to 114,775 and 178,149 is: 276,515.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,775 : 178,149 = 178,149 : x
  2. Step 2: Convert to fraction form
    114,775/178,149 = 178,149/x
  3. Step 3: Cross multiply
    114,775x = 178,149 × 178,149
  4. Step 4: Simplify right side
    114,775x = 31,737,066,201
  5. Step 5: Solve for x
    x = 31,737,066,201/114,775
  6. Step 6: Final answer
    x = 276,515.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.